Number Theory : : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / / ed. by Attila Pethoe, Kalman Gyoery, Vera T. Sos.
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©1998 |
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Number Theory : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / ed. by Attila Pethoe, Kalman Gyoery, Vera T. Sos. Reprint 2011 Berlin ; Boston : De Gruyter, [2011] ©1998 1 online resource (595 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Proceedings in Mathematics I-IV -- Preface -- Table of contents -- List of participants -- The average behaviour of the number of solutions of a Diophantine equation and an averaging technique -- Pisot numbers and greedy algorithm -- Upper bounds for the resultant and Diophantine applications -- Logarithmic forms and the abc- conjecture -- Local—global principles and linear algebraic groups -- Diophantine approximation and quadratic fields -- On a problem of P. Turán concerning irreducible polynomials -- On products of the terms of linear recurrences -- On the Kronecker-Győry specialization -- On the greatest prime factor of axm + byn -- The Euclidean algorithm in cubic number fields -- A problem of Diophantus and Dickson's conjecture -- Transcendence of Jacobi's theta series and related results -- Some of my new and almost new problems and results in combinatorial number theory -- Lower bounds for resultants II -- Distribution of binomial coefficients modulo ρ -- The distribution of the zeros of the Riemann zeta function and Baker's theorems -- θ-congruent numbers -- Computing power integral bases in algebraic number fields -- Recent bounds for the solutions of decomposable form equations -- On a generalization of the Maillet determinant -- An approximation problem concerning linear recurrences -- Elementary definability from Pascal's triangle modulo ρ and the set of e-th powers -- New methods in algebraic independence -- On the arithmetic of simplest sextic fields and related Thue equations -- Algebraic constructions of lattices; isodual lattices -- Real roots of Fibonacci-like polynomials -- On some modular identities -- Complete resolution of some families of Diophantine equations -- Experiments on a problem of D. Shanks concerning quadratic fields -- Squares in binary recurrence sequences -- Algebraic curves over finite fields with many rational points -- On a Shintani decomposition for a cubic field defined by X3 + kX - 1 = 0 -- Klein polyhedra for complete decomposable forms -- Arithmetical progressions formed by Lucas pseudoprimes -- Reducibility of polynomials over Kroneckerian fields -- A note on certain exponential Diophantine equations -- The fundamental lemma of Kubilius and the model of Kubilius in number fields -- Diophantine properties of digital expansions -- Exponential diophantine equations 1986-1996 -- Basic algorithms for elliptic curves restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. MATHEMATICS / General. bisacsh Adhikari, Sukumar Das, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Akiyama, Shigeki, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Amoroso, Francesco, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Baker, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bayer-Fluckiger, Eva, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Beck, József, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Brindza, Béla, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Brindza, Β., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bugeaud, Yann, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bérczes, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Cavallar, Stefania, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dujella, Andrej, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Duverney, Daniel, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Erdős, Paul, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Evertse, Jan-Hendrik, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Franco, Zachary M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fujii, Akio, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Fujiwara, Masahiko, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gaál, István, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Gyoery, Kalman, editor. edt http://id.loc.gov/vocabulary/relators/edt Győry, K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hajdu, L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kanemitsu, S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kiss, Péter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Korec, Ivan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kuzumaki, T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Laurent, Michel, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lemmermeyer, Franz, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lettl, Günter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Liptai, Kálmán, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Martinet, Jacques, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Melfi, Giuseppe, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mignotte, Maurice, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mátyás, Ferenc, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nakahara, Toru, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nakamula, Ken, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Niederreiter, Harald, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nishioka, Keiji, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nishioka, Kumiko, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Okazaki, Ryotaro, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Parusnikov, V.I., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pethoe, Attila, editor. edt http://id.loc.gov/vocabulary/relators/edt Pethő, Attila, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Pintér, Á., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rotkiewicz, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Schinzel, A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Shiokawa, Iekata, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Sos, Vera T., editor. edt http://id.loc.gov/vocabulary/relators/edt Szalay, László, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Terai, Nobuhiro, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Thuswaldner, Jörg Μ., 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 Voutier, Paul, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Xing, Chaoping, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Zimmer, Horst G., 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 9783110153644 https://doi.org/10.1515/9783110809794 https://www.degruyter.com/isbn/9783110809794 Cover https://www.degruyter.com/document/cover/isbn/9783110809794/original |
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English |
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Adhikari, Sukumar Das, Adhikari, Sukumar Das, Akiyama, Shigeki, Akiyama, Shigeki, Amoroso, Francesco, Amoroso, Francesco, Baker, A., Baker, A., Bayer-Fluckiger, Eva, Bayer-Fluckiger, Eva, Beck, József, Beck, József, Brindza, Béla, Brindza, Béla, Brindza, Β., Brindza, Β., Bugeaud, Yann, Bugeaud, Yann, Bérczes, A., Bérczes, A., Cavallar, Stefania, Cavallar, Stefania, Dujella, Andrej, Dujella, Andrej, Duverney, Daniel, Duverney, Daniel, Erdős, Paul, Erdős, Paul, Evertse, Jan-Hendrik, Evertse, Jan-Hendrik, Franco, Zachary M., Franco, Zachary M., Fujii, Akio, Fujii, Akio, Fujiwara, Masahiko, Fujiwara, Masahiko, Gaál, István, Gaál, István, Gyoery, Kalman, Gyoery, Kalman, Győry, K., Győry, K., Hajdu, L., Hajdu, L., Kanemitsu, S., Kanemitsu, S., Kiss, Péter, Kiss, Péter, Korec, Ivan, Korec, Ivan, Kuzumaki, T., Kuzumaki, T., Laurent, Michel, Laurent, Michel, Lemmermeyer, Franz, Lemmermeyer, Franz, Lettl, Günter, Lettl, Günter, Liptai, Kálmán, Liptai, Kálmán, Martinet, Jacques, Martinet, Jacques, Melfi, Giuseppe, Melfi, Giuseppe, Mignotte, Maurice, Mignotte, Maurice, Mátyás, Ferenc, Mátyás, Ferenc, Nakahara, Toru, Nakahara, Toru, Nakamula, Ken, Nakamula, Ken, Niederreiter, Harald, Niederreiter, Harald, Nishioka, Keiji, Nishioka, Keiji, Nishioka, Kumiko, Nishioka, Kumiko, Okazaki, Ryotaro, Okazaki, Ryotaro, Parusnikov, V.I., Parusnikov, V.I., Pethoe, Attila, Pethoe, Attila, Pethő, Attila, Pethő, Attila, Pintér, Á., Pintér, Á., Rotkiewicz, A., Rotkiewicz, A., Schinzel, A., Schinzel, A., Shiokawa, Iekata, Shiokawa, Iekata, Sos, Vera T., Sos, Vera T., Szalay, László, Szalay, László, Terai, Nobuhiro, Terai, Nobuhiro, Thuswaldner, Jörg Μ., Thuswaldner, Jörg Μ., Tichy, R.F., Tichy, R.F., Tijdeman, R., Tijdeman, R., Voutier, Paul, Voutier, Paul, Xing, Chaoping, Xing, Chaoping, Zimmer, Horst G., Zimmer, Horst G., |
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Adhikari, Sukumar Das, Adhikari, Sukumar Das, Akiyama, Shigeki, Akiyama, Shigeki, Amoroso, Francesco, Amoroso, Francesco, Baker, A., Baker, A., Bayer-Fluckiger, Eva, Bayer-Fluckiger, Eva, Beck, József, Beck, József, Brindza, Béla, Brindza, Béla, Brindza, Β., Brindza, Β., Bugeaud, Yann, Bugeaud, Yann, Bérczes, A., Bérczes, A., Cavallar, Stefania, Cavallar, Stefania, Dujella, Andrej, Dujella, Andrej, Duverney, Daniel, Duverney, Daniel, Erdős, Paul, Erdős, Paul, Evertse, Jan-Hendrik, Evertse, Jan-Hendrik, Franco, Zachary M., Franco, Zachary M., Fujii, Akio, Fujii, Akio, Fujiwara, Masahiko, Fujiwara, Masahiko, Gaál, István, Gaál, István, Gyoery, Kalman, Gyoery, Kalman, Győry, K., Győry, K., Hajdu, L., Hajdu, L., Kanemitsu, S., Kanemitsu, S., Kiss, Péter, Kiss, Péter, Korec, Ivan, Korec, Ivan, Kuzumaki, T., Kuzumaki, T., Laurent, Michel, Laurent, Michel, Lemmermeyer, Franz, Lemmermeyer, Franz, Lettl, Günter, Lettl, Günter, Liptai, Kálmán, Liptai, Kálmán, Martinet, Jacques, Martinet, Jacques, Melfi, Giuseppe, Melfi, Giuseppe, Mignotte, Maurice, Mignotte, Maurice, Mátyás, Ferenc, Mátyás, Ferenc, Nakahara, Toru, Nakahara, Toru, Nakamula, Ken, Nakamula, Ken, Niederreiter, Harald, Niederreiter, Harald, Nishioka, Keiji, Nishioka, Keiji, Nishioka, Kumiko, Nishioka, Kumiko, Okazaki, Ryotaro, Okazaki, Ryotaro, Parusnikov, V.I., Parusnikov, V.I., Pethoe, Attila, Pethoe, Attila, Pethő, Attila, Pethő, Attila, Pintér, Á., Pintér, Á., Rotkiewicz, A., Rotkiewicz, A., Schinzel, A., Schinzel, A., Shiokawa, Iekata, Shiokawa, Iekata, Sos, Vera T., Sos, Vera T., Szalay, László, Szalay, László, Terai, Nobuhiro, Terai, Nobuhiro, Thuswaldner, Jörg Μ., Thuswaldner, Jörg Μ., Tichy, R.F., Tichy, R.F., Tijdeman, R., Tijdeman, R., Voutier, Paul, Voutier, Paul, Xing, Chaoping, Xing, Chaoping, Zimmer, Horst G., Zimmer, Horst G., |
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author_sort |
Adhikari, Sukumar Das, |
title |
Number Theory : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / |
spellingShingle |
Number Theory : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / De Gruyter Proceedings in Mathematics I-IV -- Preface -- Table of contents -- List of participants -- The average behaviour of the number of solutions of a Diophantine equation and an averaging technique -- Pisot numbers and greedy algorithm -- Upper bounds for the resultant and Diophantine applications -- Logarithmic forms and the abc- conjecture -- Local—global principles and linear algebraic groups -- Diophantine approximation and quadratic fields -- On a problem of P. Turán concerning irreducible polynomials -- On products of the terms of linear recurrences -- On the Kronecker-Győry specialization -- On the greatest prime factor of axm + byn -- The Euclidean algorithm in cubic number fields -- A problem of Diophantus and Dickson's conjecture -- Transcendence of Jacobi's theta series and related results -- Some of my new and almost new problems and results in combinatorial number theory -- Lower bounds for resultants II -- Distribution of binomial coefficients modulo ρ -- The distribution of the zeros of the Riemann zeta function and Baker's theorems -- θ-congruent numbers -- Computing power integral bases in algebraic number fields -- Recent bounds for the solutions of decomposable form equations -- On a generalization of the Maillet determinant -- An approximation problem concerning linear recurrences -- Elementary definability from Pascal's triangle modulo ρ and the set of e-th powers -- New methods in algebraic independence -- On the arithmetic of simplest sextic fields and related Thue equations -- Algebraic constructions of lattices; isodual lattices -- Real roots of Fibonacci-like polynomials -- On some modular identities -- Complete resolution of some families of Diophantine equations -- Experiments on a problem of D. Shanks concerning quadratic fields -- Squares in binary recurrence sequences -- Algebraic curves over finite fields with many rational points -- On a Shintani decomposition for a cubic field defined by X3 + kX - 1 = 0 -- Klein polyhedra for complete decomposable forms -- Arithmetical progressions formed by Lucas pseudoprimes -- Reducibility of polynomials over Kroneckerian fields -- A note on certain exponential Diophantine equations -- The fundamental lemma of Kubilius and the model of Kubilius in number fields -- Diophantine properties of digital expansions -- Exponential diophantine equations 1986-1996 -- Basic algorithms for elliptic curves |
title_sub |
Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / |
title_full |
Number Theory : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / ed. by Attila Pethoe, Kalman Gyoery, Vera T. Sos. |
title_fullStr |
Number Theory : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / ed. by Attila Pethoe, Kalman Gyoery, Vera T. Sos. |
title_full_unstemmed |
Number Theory : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / ed. by Attila Pethoe, Kalman Gyoery, Vera T. Sos. |
title_auth |
Number Theory : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / |
title_alt |
I-IV -- Preface -- Table of contents -- List of participants -- The average behaviour of the number of solutions of a Diophantine equation and an averaging technique -- Pisot numbers and greedy algorithm -- Upper bounds for the resultant and Diophantine applications -- Logarithmic forms and the abc- conjecture -- Local—global principles and linear algebraic groups -- Diophantine approximation and quadratic fields -- On a problem of P. Turán concerning irreducible polynomials -- On products of the terms of linear recurrences -- On the Kronecker-Győry specialization -- On the greatest prime factor of axm + byn -- The Euclidean algorithm in cubic number fields -- A problem of Diophantus and Dickson's conjecture -- Transcendence of Jacobi's theta series and related results -- Some of my new and almost new problems and results in combinatorial number theory -- Lower bounds for resultants II -- Distribution of binomial coefficients modulo ρ -- The distribution of the zeros of the Riemann zeta function and Baker's theorems -- θ-congruent numbers -- Computing power integral bases in algebraic number fields -- Recent bounds for the solutions of decomposable form equations -- On a generalization of the Maillet determinant -- An approximation problem concerning linear recurrences -- Elementary definability from Pascal's triangle modulo ρ and the set of e-th powers -- New methods in algebraic independence -- On the arithmetic of simplest sextic fields and related Thue equations -- Algebraic constructions of lattices; isodual lattices -- Real roots of Fibonacci-like polynomials -- On some modular identities -- Complete resolution of some families of Diophantine equations -- Experiments on a problem of D. Shanks concerning quadratic fields -- Squares in binary recurrence sequences -- Algebraic curves over finite fields with many rational points -- On a Shintani decomposition for a cubic field defined by X3 + kX - 1 = 0 -- Klein polyhedra for complete decomposable forms -- Arithmetical progressions formed by Lucas pseudoprimes -- Reducibility of polynomials over Kroneckerian fields -- A note on certain exponential Diophantine equations -- The fundamental lemma of Kubilius and the model of Kubilius in number fields -- Diophantine properties of digital expansions -- Exponential diophantine equations 1986-1996 -- Basic algorithms for elliptic curves |
title_new |
Number Theory : |
title_sort |
number theory : diophantine, computational and algebraic aspects. proceedings of the international conference held in eger, hungary, july 29-august 2, 1996 / |
series |
De Gruyter Proceedings in Mathematics |
series2 |
De Gruyter Proceedings in Mathematics |
publisher |
De Gruyter, |
publishDate |
2011 |
physical |
1 online resource (595 p.) Issued also in print. |
edition |
Reprint 2011 |
contents |
I-IV -- Preface -- Table of contents -- List of participants -- The average behaviour of the number of solutions of a Diophantine equation and an averaging technique -- Pisot numbers and greedy algorithm -- Upper bounds for the resultant and Diophantine applications -- Logarithmic forms and the abc- conjecture -- Local—global principles and linear algebraic groups -- Diophantine approximation and quadratic fields -- On a problem of P. Turán concerning irreducible polynomials -- On products of the terms of linear recurrences -- On the Kronecker-Győry specialization -- On the greatest prime factor of axm + byn -- The Euclidean algorithm in cubic number fields -- A problem of Diophantus and Dickson's conjecture -- Transcendence of Jacobi's theta series and related results -- Some of my new and almost new problems and results in combinatorial number theory -- Lower bounds for resultants II -- Distribution of binomial coefficients modulo ρ -- The distribution of the zeros of the Riemann zeta function and Baker's theorems -- θ-congruent numbers -- Computing power integral bases in algebraic number fields -- Recent bounds for the solutions of decomposable form equations -- On a generalization of the Maillet determinant -- An approximation problem concerning linear recurrences -- Elementary definability from Pascal's triangle modulo ρ and the set of e-th powers -- New methods in algebraic independence -- On the arithmetic of simplest sextic fields and related Thue equations -- Algebraic constructions of lattices; isodual lattices -- Real roots of Fibonacci-like polynomials -- On some modular identities -- Complete resolution of some families of Diophantine equations -- Experiments on a problem of D. Shanks concerning quadratic fields -- Squares in binary recurrence sequences -- Algebraic curves over finite fields with many rational points -- On a Shintani decomposition for a cubic field defined by X3 + kX - 1 = 0 -- Klein polyhedra for complete decomposable forms -- Arithmetical progressions formed by Lucas pseudoprimes -- Reducibility of polynomials over Kroneckerian fields -- A note on certain exponential Diophantine equations -- The fundamental lemma of Kubilius and the model of Kubilius in number fields -- Diophantine properties of digital expansions -- Exponential diophantine equations 1986-1996 -- Basic algorithms for elliptic curves |
isbn |
9783110809794 9783110637199 9783110153644 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
callnumber-label |
QA241 |
callnumber-sort |
QA 3241 N8676 41998EB |
genre_facet |
Congresses. |
url |
https://doi.org/10.1515/9783110809794 https://www.degruyter.com/isbn/9783110809794 https://www.degruyter.com/document/cover/isbn/9783110809794/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 |
doi_str_mv |
10.1515/9783110809794 |
oclc_num |
979912747 |
work_keys_str_mv |
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Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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Number Theory : Diophantine, Computational and Algebraic Aspects. Proceedings of the International Conference held in Eger, Hungary, July 29-August 2, 1996 / |
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Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 |
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