Number Theory in Progress / / ed. by Kálmán Györy, Henryk Iwaniec, Jerzy Urbanowicz.

• Superior document: Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999
• MitwirkendeR: Balog, Antal,; Barat, G.,; Beck, J.,; Bertin, M.J.,; Beukers, F.,; Bilu, Yuri,; Boyd, David W.,; Brindza, Béla,; Brownawell, W. Dale,; Bruggeman, Roelof W.,; Bykovsky, V.A.,; Carlip, Walter,; Coray, D.F.,; Deshouillers, Jean-Marc,; Diamond, Harold G.,; Dubickas, A.,; Dubois, E.,; Duke, W.,; Duras, Jean-Luc,; Dèbes, Pierre,; Elliott, P.D.T.A.,; Evertse, Jan-Hendrik,; Farhane, A.,; Filaseta, Michael,; Flammang, V.,; Ford, Kevin,; Fox, Glenn J.,; France, M. Mendès,; France, Michel Mendès,; Fried, Michael D.,; Friedlander, J.B.,; Goldfeld, Dorian,; Goldston, D.A.,; Graham, S. W.,; Grandcolas, M.,; Greaves, George,; Gyo̎ry, K.,; Halberstam, H.,; Heath-Brown, D.R.,; Holt, Jeffrey J.,; Hooley, C.,; Huxley, M.N.,; Iwaniec, H.,; Kaczorowski, J.,; Konyagin, Sergei,; Lenstra, H. W.,; Lewis, D.J.,; Lewis, John B.,; Liu, Jianya,; Manstavic̆ius, Eugenijus,; Masser, D.W.,; McKee, J.F.,; Mignotte, Maurice,; Montgomery, H.L.,; Motohashi, Yoichi,; Narkiewicz, Wladyslaw,; Nicolas, Jean-Louis,; Niederreiter, Harald,; Nitaj, Abderrahmane,; Perelli, A.,; Perlis, Robert,; Pinner, Christopher G.,; Pintér, Ákos,; Pomerance, Carl,; Porubský, S̆tefan,; Rankin, R.A.,; Rhin, G.,; Ribenboim, Paulo,; Riele, Herman te,; Robin, Guy,; Rowlinson, P.,; Ruzsa, Imre Z.,; Sarnak, P.,; Schlickewei, Hans Peter,; Schmidt, Wolfgang M.,; Schwarz, Wolfgang,; Sebbar, A.,; Shallit, Jeffrey,; Shepherd-Barron, N.I.,; Shorey, T.N.,; Smyth, C.J.,; Somer, Lawrence,; Stepanov, Serguei A.,; Stewart, C.L.,; Swinnerton-Dyer, Sir Peter,; Szymiczek, Kazimierz,; Sárközy, A.,; Tenenbaum, Gérald,; Tichy, R.F.,; Tijdeman, R.,; Turnwald, Gerhard,; Urbanowicz, Jerzy,; Vaaler, Jeffrey D.,; Vaughan, R.C.,; Viola, Carlo,; Vorhauer, Ulrike Μ.Α.,; Waldschmidt, Michel,; Walsh, P. G.,; Williams, Kenneth S.,; Wirsing, Eduard,; Xing, Chaoping,; Zagier, D.,; Zhan, Tao,; van der Poorten, Alfred J.,
• HerausgeberIn: Györy, Kálmán,; Iwaniec, Henryk,; Urbanowicz, Jerzy,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2012]; ©1999
• Year of Publication: 2012
• Edition: Reprint 2012
• Language: English
• Physical Description: 1 online resource (1185 p.) :; 1 frontispiece

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.

Table of 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