Number Theory in Progress / / ed. by Kálmán Györy, Henryk Iwaniec, Jerzy Urbanowicz.
Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997.
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Superior document: | Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2012] ©1999 |
Year of Publication: | 2012 |
Edition: | Reprint 2012 |
Language: | English |
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Physical Description: | 1 online resource (1185 p.) :; 1 frontispiece |
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Number Theory in Progress / ed. by Kálmán Györy, Henryk Iwaniec, Jerzy Urbanowicz. Reprint 2012 Berlin ; Boston : De Gruyter, [2012] ©1999 1 online resource (1185 p.) : 1 frontispiece text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda i-iv -- Preface -- List of participants -- Table of contents of Volume I -- Table of contents of Volume II -- Quelques nouveaux résultats sur les nombres de Pisot et de Salem -- Irreducibility of polynomials and arithmetic progressions with equal products of terms -- Mahler’s measure and special values of L-functions — some conjectures -- On the distribution of solutions of Thue’s equation -- Linear independence and divided derivatives of a Drinfeld module. I -- Cubic threefolds with six double points -- Arithmétique et espaces de modules de revêtements -- On a polynomial with large number of irreducible factors -- Fractions continues paramétrées et critère de Rabinowitsch -- The Absolute Subspace Theorem and linear equations with unknowns from a multiplicative group -- On the factorization of polynomials with small Euclidean norm -- Small Salem numbers -- Variables separated polynomials, the genus 0 problem and moduli spaces -- Some polynomial identities related to the abc-conjecture -- On the distribution of solutions of decomposable form equations -- Finding small degree factors of lacunary polynomials -- On the factorization of lacunary polynomials -- Specializations of some hyperelliptic Jacobians -- Salem numbers and Pisot numbers from stars -- On lacunary formal power series and their continued fraction expansion -- The ultra-divergent series Σn>̲0 0-2n -- Une remarque sur l’équation de Catalan -- The work of Andrzej Schinzel in number theory -- Algebraic curves with many rational points over finite fields of characteristic 2 -- Arf equivalence I -- The number of irreducible factors of a polynomial, III -- Identities with covering systems and Appell polynomials -- Binary recurring sequences and powers, I -- On Mahler’s measure for polynomials in several variables -- Polynomials that divide many k-nomials -- Solution trees of polynomial congruences modulo prime powers -- The equation axn-1x-1 =byq with ab>1 -- Transcendence bases of the algebra of vector invariants for a symmetric group -- Some applications of Schinzel’s Hypothesis to Diophantine equations -- On the Milnor exact sequence for rational quadratic forms -- Some notes on monodromy groups of polynomials -- Integer valued entire functions on Cartesian products -- On a conjecture of Schinzel and Tijdeman -- List of contributors -- On some convex lattice polytopes -- Digital blocks in linear numeration systems -- On irregularities of distribution in shifts and dilations of integer sequences, II -- Addition of integer sequences and subsets of real tori -- Kloosterman sums for the modular group -- Hecke series values of holomorphic cusp forms in the centre of the critical strip -- Bounds for frequencies of residues of regular second-order recurrences modulo pr -- Differential inequalities for Iwaniec’s q functions -- When is the product of two Hecke eigenforms an eigenform? -- Grandes valeurs de la fonction dk -- On a multiplicative analogue of Goldbach’s conjecture -- On two conjectures of Sierpiński concerning the arithmetic functions σ and φ -- Residue classes free of values of Euler’s function -- Gauss’ congruence from Dirichlet’s class number formula and generalizations -- Note on a variance in the distribution of primes -- The distribution of modular symbols -- On the solutions to φ(n) = φ(n + k) -- Lattice points in the sphere -- On the Barban-Davenport-Halberstam theorem: XII -- The integer points close to a curve III -- Dirichlet L-functions at the central point -- The Selberg class: a survey -- A radically simplified Selberg zeta function for the modular group -- The Goldbach-Vinogradov Theorem -- Α Tauber theorem and multiplicative functions on permutations -- Extreme values of Dirichlet L-functions at 1 -- On the remainder term in the Selberg sieve -- Newforms for the modular group on spaces of dimension 2 -- Computational sieving applied to some classical number-theoretic problems -- Evaluation of mean-values of products of shifted arithmetical functions, II -- Crible d’Ératosthène et modèle de Kubilius -- Three two-dimensional Weyl steps in the circle problem, III. Exponential integrals and application -- From quadratic functions to modular functions -- List of contributors restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jun 2022) Number theory Congresses. Numerical analysis Congresses. MATHEMATICS / General. bisacsh Balog, Antal, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Barat, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Beck, J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bertin, M.J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Beukers, F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bilu, Yuri, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Boyd, David W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Brindza, Béla, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Brownawell, W. Dale, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bruggeman, Roelof W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bykovsky, V.A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Carlip, Walter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Coray, D.F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Deshouillers, Jean-Marc, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Diamond, Harold G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dubickas, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dubois, E., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Duke, W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Duras, Jean-Luc, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dèbes, Pierre, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Elliott, P.D.T.A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Evertse, Jan-Hendrik, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Farhane, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Filaseta, Michael, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Flammang, V., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ford, Kevin, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fox, Glenn J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb France, M. Mendès, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb France, Michel Mendès, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fried, Michael D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Friedlander, J.B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Goldfeld, Dorian, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Goldston, D.A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Graham, S. W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Grandcolas, M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Greaves, George, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gyo̎ry, K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Györy, Kálmán, editor. edt http://id.loc.gov/vocabulary/relators/edt Halberstam, H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Heath-Brown, D.R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Holt, Jeffrey J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hooley, C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Huxley, M.N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Iwaniec, H., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Iwaniec, Henryk, editor. edt http://id.loc.gov/vocabulary/relators/edt Kaczorowski, J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Konyagin, Sergei, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lenstra, H. W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lewis, D.J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lewis, John B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Liu, Jianya, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Manstavic̆ius, Eugenijus, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Masser, D.W., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb McKee, J.F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mignotte, Maurice, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Montgomery, H.L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Motohashi, Yoichi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Narkiewicz, Wladyslaw, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nicolas, Jean-Louis, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Niederreiter, Harald, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nitaj, Abderrahmane, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Perelli, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Perlis, Robert, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pinner, Christopher G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pintér, Ákos, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pomerance, Carl, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Porubský, S̆tefan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rankin, R.A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rhin, G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ribenboim, Paulo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Riele, Herman te, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Robin, Guy, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rowlinson, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Ruzsa, Imre Z., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sarnak, P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schlickewei, Hans Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schmidt, Wolfgang M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schwarz, Wolfgang, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sebbar, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shallit, Jeffrey, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shepherd-Barron, N.I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shorey, T.N., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Smyth, C.J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Somer, Lawrence, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stepanov, Serguei A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stewart, C.L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Swinnerton-Dyer, Sir Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Szymiczek, Kazimierz, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sárközy, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Tenenbaum, Gérald, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Tichy, R.F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Tijdeman, R., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Turnwald, Gerhard, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Urbanowicz, Jerzy, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Urbanowicz, Jerzy, editor. edt http://id.loc.gov/vocabulary/relators/edt Vaaler, Jeffrey D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vaughan, R.C., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Viola, Carlo, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vorhauer, Ulrike Μ.Α., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Waldschmidt, Michel, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Walsh, P. G., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Williams, Kenneth S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wirsing, Eduard, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Xing, Chaoping, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Zagier, D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Zhan, Tao, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb van der Poorten, Alfred J., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 9783110637199 ZDB-23-GMA print 9783110157154 https://doi.org/10.1515/9783110285581 https://www.degruyter.com/isbn/9783110285581 Cover https://www.degruyter.com/document/cover/isbn/9783110285581/original |
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author2 |
Balog, Antal, Balog, Antal, Barat, G., Barat, G., Beck, J., Beck, J., Bertin, M.J., Bertin, M.J., Beukers, F., Beukers, F., Bilu, Yuri, Bilu, Yuri, Boyd, David W., Boyd, David W., Brindza, Béla, Brindza, Béla, Brownawell, W. Dale, Brownawell, W. Dale, Bruggeman, Roelof W., Bruggeman, Roelof W., Bykovsky, V.A., Bykovsky, V.A., Carlip, Walter, Carlip, Walter, Coray, D.F., Coray, D.F., Deshouillers, Jean-Marc, Deshouillers, Jean-Marc, Diamond, Harold G., Diamond, Harold G., Dubickas, A., Dubickas, A., Dubois, E., Dubois, E., Duke, W., Duke, W., Duras, Jean-Luc, Duras, Jean-Luc, Dèbes, Pierre, Dèbes, Pierre, Elliott, P.D.T.A., Elliott, P.D.T.A., Evertse, Jan-Hendrik, Evertse, Jan-Hendrik, Farhane, A., Farhane, A., Filaseta, Michael, Filaseta, Michael, Flammang, V., Flammang, V., Ford, Kevin, Ford, Kevin, Fox, Glenn J., Fox, Glenn J., France, M. Mendès, France, M. Mendès, France, Michel Mendès, France, Michel Mendès, Fried, Michael D., Fried, Michael D., Friedlander, J.B., Friedlander, J.B., Goldfeld, Dorian, Goldfeld, Dorian, Goldston, D.A., Goldston, D.A., Graham, S. W., Graham, S. W., Grandcolas, M., Grandcolas, M., Greaves, George, Greaves, George, Gyo̎ry, K., Gyo̎ry, K., Györy, Kálmán, Györy, Kálmán, Halberstam, H., Halberstam, H., Heath-Brown, D.R., Heath-Brown, D.R., Holt, Jeffrey J., Holt, Jeffrey J., Hooley, C., Hooley, C., Huxley, M.N., Huxley, M.N., Iwaniec, H., Iwaniec, H., Iwaniec, Henryk, Iwaniec, Henryk, Kaczorowski, J., Kaczorowski, J., Konyagin, Sergei, Konyagin, Sergei, Lenstra, H. W., Lenstra, H. W., Lewis, D.J., Lewis, D.J., Lewis, John B., Lewis, John B., Liu, Jianya, Liu, Jianya, Manstavic̆ius, Eugenijus, Manstavic̆ius, Eugenijus, Masser, D.W., Masser, D.W., McKee, J.F., McKee, J.F., Mignotte, Maurice, Mignotte, Maurice, Montgomery, H.L., Montgomery, H.L., Motohashi, Yoichi, Motohashi, Yoichi, Narkiewicz, Wladyslaw, Narkiewicz, Wladyslaw, Nicolas, Jean-Louis, Nicolas, Jean-Louis, Niederreiter, Harald, Niederreiter, Harald, Nitaj, Abderrahmane, Nitaj, Abderrahmane, Perelli, A., Perelli, A., Perlis, Robert, Perlis, Robert, Pinner, Christopher G., Pinner, Christopher G., Pintér, Ákos, Pintér, Ákos, Pomerance, Carl, Pomerance, Carl, Porubský, S̆tefan, Porubský, S̆tefan, Rankin, R.A., Rankin, R.A., Rhin, G., Rhin, G., Ribenboim, Paulo, Ribenboim, Paulo, Riele, Herman te, Riele, Herman te, Robin, Guy, Robin, Guy, Rowlinson, P., Rowlinson, P., Ruzsa, Imre Z., Ruzsa, Imre Z., Sarnak, P., Sarnak, P., Schlickewei, Hans Peter, Schlickewei, Hans Peter, Schmidt, Wolfgang M., Schmidt, Wolfgang M., Schwarz, Wolfgang, Schwarz, Wolfgang, Sebbar, A., Sebbar, A., Shallit, Jeffrey, Shallit, Jeffrey, Shepherd-Barron, N.I., Shepherd-Barron, N.I., Shorey, T.N., Shorey, T.N., Smyth, C.J., Smyth, C.J., Somer, Lawrence, Somer, Lawrence, Stepanov, Serguei A., Stepanov, Serguei A., Stewart, C.L., Stewart, C.L., Swinnerton-Dyer, Sir Peter, Swinnerton-Dyer, Sir Peter, Szymiczek, Kazimierz, Szymiczek, Kazimierz, Sárközy, A., Sárközy, A., Tenenbaum, Gérald, Tenenbaum, Gérald, Tichy, R.F., Tichy, R.F., Tijdeman, R., Tijdeman, R., Turnwald, Gerhard, Turnwald, Gerhard, Urbanowicz, Jerzy, Urbanowicz, Jerzy, Urbanowicz, Jerzy, Urbanowicz, Jerzy, Vaaler, Jeffrey D., Vaaler, Jeffrey D., Vaughan, R.C., Vaughan, R.C., Viola, Carlo, Viola, Carlo, Vorhauer, Ulrike Μ.Α., Vorhauer, Ulrike Μ.Α., Waldschmidt, Michel, Waldschmidt, Michel, Walsh, P. G., Walsh, P. G., Williams, Kenneth S., Williams, Kenneth S., Wirsing, Eduard, Wirsing, Eduard, Xing, Chaoping, Xing, Chaoping, Zagier, D., Zagier, D., Zhan, Tao, Zhan, Tao, van der Poorten, Alfred J., van der Poorten, Alfred J., |
author_facet |
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author_sort |
Balog, Antal, |
title |
Number Theory in Progress / |
spellingShingle |
Number Theory in Progress / i-iv -- Preface -- List of participants -- Table of contents of Volume I -- Table of contents of Volume II -- Quelques nouveaux résultats sur les nombres de Pisot et de Salem -- Irreducibility of polynomials and arithmetic progressions with equal products of terms -- Mahler’s measure and special values of L-functions — some conjectures -- On the distribution of solutions of Thue’s equation -- Linear independence and divided derivatives of a Drinfeld module. I -- Cubic threefolds with six double points -- Arithmétique et espaces de modules de revêtements -- On a polynomial with large number of irreducible factors -- Fractions continues paramétrées et critère de Rabinowitsch -- The Absolute Subspace Theorem and linear equations with unknowns from a multiplicative group -- On the factorization of polynomials with small Euclidean norm -- Small Salem numbers -- Variables separated polynomials, the genus 0 problem and moduli spaces -- Some polynomial identities related to the abc-conjecture -- On the distribution of solutions of decomposable form equations -- Finding small degree factors of lacunary polynomials -- On the factorization of lacunary polynomials -- Specializations of some hyperelliptic Jacobians -- Salem numbers and Pisot numbers from stars -- On lacunary formal power series and their continued fraction expansion -- The ultra-divergent series Σn>̲0 0-2n -- Une remarque sur l’équation de Catalan -- The work of Andrzej Schinzel in number theory -- Algebraic curves with many rational points over finite fields of characteristic 2 -- Arf equivalence I -- The number of irreducible factors of a polynomial, III -- Identities with covering systems and Appell polynomials -- Binary recurring sequences and powers, I -- On Mahler’s measure for polynomials in several variables -- Polynomials that divide many k-nomials -- Solution trees of polynomial congruences modulo prime powers -- The equation axn-1x-1 =byq with ab>1 -- Transcendence bases of the algebra of vector invariants for a symmetric group -- Some applications of Schinzel’s Hypothesis to Diophantine equations -- On the Milnor exact sequence for rational quadratic forms -- Some notes on monodromy groups of polynomials -- Integer valued entire functions on Cartesian products -- On a conjecture of Schinzel and Tijdeman -- List of contributors -- On some convex lattice polytopes -- Digital blocks in linear numeration systems -- On irregularities of distribution in shifts and dilations of integer sequences, II -- Addition of integer sequences and subsets of real tori -- Kloosterman sums for the modular group -- Hecke series values of holomorphic cusp forms in the centre of the critical strip -- Bounds for frequencies of residues of regular second-order recurrences modulo pr -- Differential inequalities for Iwaniec’s q functions -- When is the product of two Hecke eigenforms an eigenform? -- Grandes valeurs de la fonction dk -- On a multiplicative analogue of Goldbach’s conjecture -- On two conjectures of Sierpiński concerning the arithmetic functions σ and φ -- Residue classes free of values of Euler’s function -- Gauss’ congruence from Dirichlet’s class number formula and generalizations -- Note on a variance in the distribution of primes -- The distribution of modular symbols -- On the solutions to φ(n) = φ(n + k) -- Lattice points in the sphere -- On the Barban-Davenport-Halberstam theorem: XII -- The integer points close to a curve III -- Dirichlet L-functions at the central point -- The Selberg class: a survey -- A radically simplified Selberg zeta function for the modular group -- The Goldbach-Vinogradov Theorem -- Α Tauber theorem and multiplicative functions on permutations -- Extreme values of Dirichlet L-functions at 1 -- On the remainder term in the Selberg sieve -- Newforms for the modular group on spaces of dimension 2 -- Computational sieving applied to some classical number-theoretic problems -- Evaluation of mean-values of products of shifted arithmetical functions, II -- Crible d’Ératosthène et modèle de Kubilius -- Three two-dimensional Weyl steps in the circle problem, III. Exponential integrals and application -- From quadratic functions to modular functions -- List of contributors |
title_full |
Number Theory in Progress / ed. by Kálmán Györy, Henryk Iwaniec, Jerzy Urbanowicz. |
title_fullStr |
Number Theory in Progress / ed. by Kálmán Györy, Henryk Iwaniec, Jerzy Urbanowicz. |
title_full_unstemmed |
Number Theory in Progress / ed. by Kálmán Györy, Henryk Iwaniec, Jerzy Urbanowicz. |
title_auth |
Number Theory in Progress / |
title_alt |
i-iv -- Preface -- List of participants -- Table of contents of Volume I -- Table of contents of Volume II -- Quelques nouveaux résultats sur les nombres de Pisot et de Salem -- Irreducibility of polynomials and arithmetic progressions with equal products of terms -- Mahler’s measure and special values of L-functions — some conjectures -- On the distribution of solutions of Thue’s equation -- Linear independence and divided derivatives of a Drinfeld module. I -- Cubic threefolds with six double points -- Arithmétique et espaces de modules de revêtements -- On a polynomial with large number of irreducible factors -- Fractions continues paramétrées et critère de Rabinowitsch -- The Absolute Subspace Theorem and linear equations with unknowns from a multiplicative group -- On the factorization of polynomials with small Euclidean norm -- Small Salem numbers -- Variables separated polynomials, the genus 0 problem and moduli spaces -- Some polynomial identities related to the abc-conjecture -- On the distribution of solutions of decomposable form equations -- Finding small degree factors of lacunary polynomials -- On the factorization of lacunary polynomials -- Specializations of some hyperelliptic Jacobians -- Salem numbers and Pisot numbers from stars -- On lacunary formal power series and their continued fraction expansion -- The ultra-divergent series Σn>̲0 0-2n -- Une remarque sur l’équation de Catalan -- The work of Andrzej Schinzel in number theory -- Algebraic curves with many rational points over finite fields of characteristic 2 -- Arf equivalence I -- The number of irreducible factors of a polynomial, III -- Identities with covering systems and Appell polynomials -- Binary recurring sequences and powers, I -- On Mahler’s measure for polynomials in several variables -- Polynomials that divide many k-nomials -- Solution trees of polynomial congruences modulo prime powers -- The equation axn-1x-1 =byq with ab>1 -- Transcendence bases of the algebra of vector invariants for a symmetric group -- Some applications of Schinzel’s Hypothesis to Diophantine equations -- On the Milnor exact sequence for rational quadratic forms -- Some notes on monodromy groups of polynomials -- Integer valued entire functions on Cartesian products -- On a conjecture of Schinzel and Tijdeman -- List of contributors -- On some convex lattice polytopes -- Digital blocks in linear numeration systems -- On irregularities of distribution in shifts and dilations of integer sequences, II -- Addition of integer sequences and subsets of real tori -- Kloosterman sums for the modular group -- Hecke series values of holomorphic cusp forms in the centre of the critical strip -- Bounds for frequencies of residues of regular second-order recurrences modulo pr -- Differential inequalities for Iwaniec’s q functions -- When is the product of two Hecke eigenforms an eigenform? -- Grandes valeurs de la fonction dk -- On a multiplicative analogue of Goldbach’s conjecture -- On two conjectures of Sierpiński concerning the arithmetic functions σ and φ -- Residue classes free of values of Euler’s function -- Gauss’ congruence from Dirichlet’s class number formula and generalizations -- Note on a variance in the distribution of primes -- The distribution of modular symbols -- On the solutions to φ(n) = φ(n + k) -- Lattice points in the sphere -- On the Barban-Davenport-Halberstam theorem: XII -- The integer points close to a curve III -- Dirichlet L-functions at the central point -- The Selberg class: a survey -- A radically simplified Selberg zeta function for the modular group -- The Goldbach-Vinogradov Theorem -- Α Tauber theorem and multiplicative functions on permutations -- Extreme values of Dirichlet L-functions at 1 -- On the remainder term in the Selberg sieve -- Newforms for the modular group on spaces of dimension 2 -- Computational sieving applied to some classical number-theoretic problems -- Evaluation of mean-values of products of shifted arithmetical functions, II -- Crible d’Ératosthène et modèle de Kubilius -- Three two-dimensional Weyl steps in the circle problem, III. Exponential integrals and application -- From quadratic functions to modular functions -- List of contributors |
title_new |
Number Theory in Progress / |
title_sort |
number theory in progress / |
publisher |
De Gruyter, |
publishDate |
2012 |
physical |
1 online resource (1185 p.) : 1 frontispiece Issued also in print. |
edition |
Reprint 2012 |
contents |
i-iv -- Preface -- List of participants -- Table of contents of Volume I -- Table of contents of Volume II -- Quelques nouveaux résultats sur les nombres de Pisot et de Salem -- Irreducibility of polynomials and arithmetic progressions with equal products of terms -- Mahler’s measure and special values of L-functions — some conjectures -- On the distribution of solutions of Thue’s equation -- Linear independence and divided derivatives of a Drinfeld module. I -- Cubic threefolds with six double points -- Arithmétique et espaces de modules de revêtements -- On a polynomial with large number of irreducible factors -- Fractions continues paramétrées et critère de Rabinowitsch -- The Absolute Subspace Theorem and linear equations with unknowns from a multiplicative group -- On the factorization of polynomials with small Euclidean norm -- Small Salem numbers -- Variables separated polynomials, the genus 0 problem and moduli spaces -- Some polynomial identities related to the abc-conjecture -- On the distribution of solutions of decomposable form equations -- Finding small degree factors of lacunary polynomials -- On the factorization of lacunary polynomials -- Specializations of some hyperelliptic Jacobians -- Salem numbers and Pisot numbers from stars -- On lacunary formal power series and their continued fraction expansion -- The ultra-divergent series Σn>̲0 0-2n -- Une remarque sur l’équation de Catalan -- The work of Andrzej Schinzel in number theory -- Algebraic curves with many rational points over finite fields of characteristic 2 -- Arf equivalence I -- The number of irreducible factors of a polynomial, III -- Identities with covering systems and Appell polynomials -- Binary recurring sequences and powers, I -- On Mahler’s measure for polynomials in several variables -- Polynomials that divide many k-nomials -- Solution trees of polynomial congruences modulo prime powers -- The equation axn-1x-1 =byq with ab>1 -- Transcendence bases of the algebra of vector invariants for a symmetric group -- Some applications of Schinzel’s Hypothesis to Diophantine equations -- On the Milnor exact sequence for rational quadratic forms -- Some notes on monodromy groups of polynomials -- Integer valued entire functions on Cartesian products -- On a conjecture of Schinzel and Tijdeman -- List of contributors -- On some convex lattice polytopes -- Digital blocks in linear numeration systems -- On irregularities of distribution in shifts and dilations of integer sequences, II -- Addition of integer sequences and subsets of real tori -- Kloosterman sums for the modular group -- Hecke series values of holomorphic cusp forms in the centre of the critical strip -- Bounds for frequencies of residues of regular second-order recurrences modulo pr -- Differential inequalities for Iwaniec’s q functions -- When is the product of two Hecke eigenforms an eigenform? -- Grandes valeurs de la fonction dk -- On a multiplicative analogue of Goldbach’s conjecture -- On two conjectures of Sierpiński concerning the arithmetic functions σ and φ -- Residue classes free of values of Euler’s function -- Gauss’ congruence from Dirichlet’s class number formula and generalizations -- Note on a variance in the distribution of primes -- The distribution of modular symbols -- On the solutions to φ(n) = φ(n + k) -- Lattice points in the sphere -- On the Barban-Davenport-Halberstam theorem: XII -- The integer points close to a curve III -- Dirichlet L-functions at the central point -- The Selberg class: a survey -- A radically simplified Selberg zeta function for the modular group -- The Goldbach-Vinogradov Theorem -- Α Tauber theorem and multiplicative functions on permutations -- Extreme values of Dirichlet L-functions at 1 -- On the remainder term in the Selberg sieve -- Newforms for the modular group on spaces of dimension 2 -- Computational sieving applied to some classical number-theoretic problems -- Evaluation of mean-values of products of shifted arithmetical functions, II -- Crible d’Ératosthène et modèle de Kubilius -- Three two-dimensional Weyl steps in the circle problem, III. Exponential integrals and application -- From quadratic functions to modular functions -- List of contributors |
isbn |
9783110285581 9783110637199 9783110157154 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA241 |
callnumber-sort |
QA 3241 I584 41997 |
genre_facet |
Congresses. |
url |
https://doi.org/10.1515/9783110285581 https://www.degruyter.com/isbn/9783110285581 https://www.degruyter.com/document/cover/isbn/9783110285581/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512/.7 |
dewey-sort |
3512 17 |
dewey-raw |
512/.7 |
dewey-search |
512/.7 |
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10.1515/9783110285581 |
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I -- </subfield><subfield code="t">Cubic threefolds with six double points -- </subfield><subfield code="t">Arithmétique et espaces de modules de revêtements -- </subfield><subfield code="t">On a polynomial with large number of irreducible factors -- </subfield><subfield code="t">Fractions continues paramétrées et critère de Rabinowitsch -- </subfield><subfield code="t">The Absolute Subspace Theorem and linear equations with unknowns from a multiplicative group -- </subfield><subfield code="t">On the factorization of polynomials with small Euclidean norm -- </subfield><subfield code="t">Small Salem numbers -- </subfield><subfield code="t">Variables separated polynomials, the genus 0 problem and moduli spaces -- </subfield><subfield code="t">Some polynomial identities related to the abc-conjecture -- </subfield><subfield code="t">On the distribution of solutions of decomposable form equations -- </subfield><subfield code="t">Finding small degree factors of lacunary polynomials -- </subfield><subfield code="t">On the factorization of lacunary polynomials -- </subfield><subfield code="t">Specializations of some hyperelliptic Jacobians -- </subfield><subfield code="t">Salem numbers and Pisot numbers from stars -- </subfield><subfield code="t">On lacunary formal power series and their continued fraction expansion -- </subfield><subfield code="t">The ultra-divergent series Σn>̲0 0-2n -- </subfield><subfield code="t">Une remarque sur l’équation de Catalan -- </subfield><subfield code="t">The work of Andrzej Schinzel in number theory -- </subfield><subfield code="t">Algebraic curves with many rational points over finite fields of characteristic 2 -- </subfield><subfield code="t">Arf equivalence I -- </subfield><subfield code="t">The number of irreducible factors of a polynomial, III -- </subfield><subfield code="t">Identities with covering systems and Appell polynomials -- </subfield><subfield code="t">Binary recurring sequences and powers, I -- </subfield><subfield code="t">On Mahler’s measure for polynomials in several variables -- </subfield><subfield code="t">Polynomials that divide many k-nomials -- </subfield><subfield code="t">Solution trees of polynomial congruences modulo prime powers -- </subfield><subfield code="t">The equation axn-1x-1 =byq with ab>1 -- </subfield><subfield code="t">Transcendence bases of the algebra of vector invariants for a symmetric group -- </subfield><subfield code="t">Some applications of Schinzel’s Hypothesis to Diophantine equations -- </subfield><subfield code="t">On the Milnor exact sequence for rational quadratic forms -- </subfield><subfield code="t">Some notes on monodromy groups of polynomials -- </subfield><subfield code="t">Integer valued entire functions on Cartesian products -- </subfield><subfield code="t">On a conjecture of Schinzel and Tijdeman -- </subfield><subfield code="t">List of contributors -- </subfield><subfield code="t">On some convex lattice polytopes -- </subfield><subfield code="t">Digital blocks in linear numeration systems -- </subfield><subfield code="t">On irregularities of distribution in shifts and dilations of integer sequences, II -- </subfield><subfield code="t">Addition of integer sequences and subsets of real tori -- </subfield><subfield code="t">Kloosterman sums for the modular group -- </subfield><subfield code="t">Hecke series values of holomorphic cusp forms in the centre of the critical strip -- </subfield><subfield code="t">Bounds for frequencies of residues of regular second-order recurrences modulo pr -- </subfield><subfield code="t">Differential inequalities for Iwaniec’s q functions -- </subfield><subfield code="t">When is the product of two Hecke eigenforms an eigenform? -- </subfield><subfield code="t">Grandes valeurs de la fonction dk -- </subfield><subfield code="t">On a multiplicative analogue of Goldbach’s conjecture -- </subfield><subfield code="t">On two conjectures of Sierpiński concerning the arithmetic functions σ and φ -- </subfield><subfield code="t">Residue classes free of values of Euler’s function -- </subfield><subfield code="t">Gauss’ congruence from Dirichlet’s class number formula and generalizations -- </subfield><subfield code="t">Note on a variance in the distribution of primes -- </subfield><subfield code="t">The distribution of modular symbols -- </subfield><subfield code="t">On the solutions to φ(n) = φ(n + k) -- </subfield><subfield code="t">Lattice points in the sphere -- </subfield><subfield code="t">On the Barban-Davenport-Halberstam theorem: XII -- </subfield><subfield code="t">The integer points close to a curve III -- </subfield><subfield code="t">Dirichlet L-functions at the central point -- </subfield><subfield code="t">The Selberg class: a survey -- </subfield><subfield code="t">A radically simplified Selberg zeta function for the modular group -- </subfield><subfield code="t">The Goldbach-Vinogradov Theorem -- </subfield><subfield code="t">Α Tauber theorem and multiplicative functions on permutations -- </subfield><subfield code="t">Extreme values of Dirichlet L-functions at 1 -- </subfield><subfield code="t">On the remainder term in the Selberg sieve -- </subfield><subfield code="t">Newforms for the modular group on spaces of dimension 2 -- </subfield><subfield code="t">Computational sieving applied to some classical number-theoretic problems -- </subfield><subfield code="t">Evaluation of mean-values of products of shifted arithmetical functions, II -- </subfield><subfield code="t">Crible d’Ératosthène et modèle de Kubilius -- </subfield><subfield code="t">Three two-dimensional Weyl steps in the circle problem, III. Exponential integrals and application -- </subfield><subfield code="t">From quadratic functions to modular functions -- </subfield><subfield code="t">List of contributors</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Proceedings of the International Conference on Number Theory organized by the Stefan Banach International Mathematical Center in Honor of the 60th Birthday of Andrzej Schinzel, Zakopane, Poland, June 30-July 9, 1997.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Jun 2022)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Number theory</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Numerical analysis</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Balog, Antal, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Barat, G., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Beck, J., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bertin, M.J., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Beukers, F., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bilu, Yuri, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Boyd, David W., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Brindza, Béla, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Brownawell, W. 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