Number Theory in Progress

Number Theory in Progress PDF Author: Kálmán Györy
Publisher: Walter de Gruyter
ISBN: 3110285584
Category : Mathematics
Languages : en
Pages : 1212

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Book Description
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.

Number Theory in Progress

Number Theory in Progress PDF Author: Kálmán Györy
Publisher: Walter de Gruyter
ISBN: 3110285584
Category : Mathematics
Languages : en
Pages : 1212

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Book Description
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.

Analytic Number Theory and Diophantine Problems

Analytic Number Theory and Diophantine Problems PDF Author: A.C. Adolphson
Publisher: Springer Science & Business Media
ISBN: 9780817633615
Category : Mathematics
Languages : en
Pages : 368

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Book Description
A conference on Analytic Number Theory and Diophantine Problems was held from June 24 to July 3, 1984 at the Oklahoma State University in Stillwater. The conference was funded by the National Science Foundation, the College of Arts and Sciences and the Department of Mathematics at Oklahoma State University. The papers in this volume represent only a portion of the many talks given at the conference. The principal speakers were Professors E. Bombieri, P. X. Gallagher, D. Goldfeld, S. Graham, R. Greenberg, H. Halberstam, C. Hooley, H. Iwaniec, D. J. Lewis, D. W. Masser, H. L. Montgomery, A. Selberg, and R. C. Vaughan. Of these, Professors Bombieri, Goldfeld, Masser, and Vaughan gave three lectures each, while Professor Hooley gave two. Special sessions were also held and most participants gave talks of at least twenty minutes each. Prof. P. Sarnak was unable to attend but a paper based on his intended talk is included in this volume. We take this opportunity to thank all participants for their (enthusiastic) support for the conference. Judging from the response, it was deemed a success. As for this volume, I take responsibility for any typographical errors that may occur in the final print. I also apologize for the delay (which was due to the many problems incurred while retyping all the papers). A. special thanks to Dollee Walker for retyping the papers and to Prof. W. H. Jaco for his support, encouragement and hard work in bringing the idea of the conference to fruition.

Number Theory in Progress: Diophantine problems and polynomials

Number Theory in Progress: Diophantine problems and polynomials PDF Author: Kálmán Györy
Publisher: de Gruyter
ISBN:
Category : Mathematics
Languages : en
Pages : 612

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Book Description
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.

Selecta: Diophantine problems and polynomials

Selecta: Diophantine problems and polynomials PDF Author: Andrzej Schinzel
Publisher: European Mathematical Society
ISBN: 9783037190388
Category : Analyse diophantienne
Languages : en
Pages : 554

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Book Description


Unit Equations in Diophantine Number Theory

Unit Equations in Diophantine Number Theory PDF Author: Jan-Hendrik Evertse
Publisher: Cambridge University Press
ISBN: 1316432351
Category : Mathematics
Languages : en
Pages : 381

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Book Description
Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This comprehensive treatment is the first volume devoted to these equations. The authors gather together all the most important results and look at many different aspects, including effective results on unit equations over number fields, estimates on the number of solutions, analogues for function fields and effective results for unit equations over finitely generated domains. They also present a variety of applications. Introductory chapters provide the necessary background in algebraic number theory and function field theory, as well as an account of the required tools from Diophantine approximation and transcendence theory. This makes the book suitable for young researchers as well as experts who are looking for an up-to-date overview of the field.

Number Theory in Progress: Elementary and analytic number theory

Number Theory in Progress: Elementary and analytic number theory PDF Author: Kálmán Györy
Publisher:
ISBN:
Category : Number theory
Languages : en
Pages : 610

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Book Description


Polynomials with Special Regard to Reducibility

Polynomials with Special Regard to Reducibility PDF Author: A. Schinzel
Publisher: Cambridge University Press
ISBN: 9781139426718
Category : Mathematics
Languages : en
Pages : 590

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Book Description
This book covers most of the known results on reducibility of polynomials over arbitrary fields, algebraically closed fields and finitely generated fields. Results valid only over finite fields, local fields or the rational field are not covered here, but several theorems on reducibility of polynomials over number fields that are either totally real or complex multiplication fields are included. Some of these results are based on recent work of E. Bombieri and U. Zannier (presented here by Zannier in an appendix). The book also treats other subjects like Ritt's theory of composition of polynomials, and properties of the Mahler measure, and it concludes with a bibliography of over 300 items. This unique work will be a necessary resource for all number theorists and researchers in related fields.

Introduction to Modern Number Theory

Introduction to Modern Number Theory PDF Author: Yu. I. Manin
Publisher: Springer Science & Business Media
ISBN: 3540276920
Category : Mathematics
Languages : en
Pages : 519

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Book Description
This edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories.

Number Theory, Analysis, and Combinatorics

Number Theory, Analysis, and Combinatorics PDF Author: János Pintz
Publisher: Walter de Gruyter
ISBN: 3110282429
Category : Mathematics
Languages : en
Pages : 418

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Book Description
Paul Turán, one of the greatest Hungarian mathematicians, was born 100 years ago, on August 18, 1910. To celebrate this occasion the Hungarian Academy of Sciences, the Alfréd Rényi Institute of Mathematics, the János Bolyai Mathematical Society and the Mathematical Institute of Eötvös Loránd University organized an international conference devoted to Paul Turán's main areas of interest: number theory, selected branches of analysis, and selected branches of combinatorics. The conference was held in Budapest, August 22-26, 2011. Some of the invited lectures reviewed different aspects of Paul Turán's work and influence. Most of the lectures allowed participants to report about their own work in the above mentioned areas of mathematics.

Number Theory – Diophantine Problems, Uniform Distribution and Applications

Number Theory – Diophantine Problems, Uniform Distribution and Applications PDF Author: Christian Elsholtz
Publisher: Springer
ISBN: 3319553577
Category : Mathematics
Languages : en
Pages : 447

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Book Description
This volume is dedicated to Robert F. Tichy on the occasion of his 60th birthday. Presenting 22 research and survey papers written by leading experts in their respective fields, it focuses on areas that align with Tichy’s research interests and which he significantly shaped, including Diophantine problems, asymptotic counting, uniform distribution and discrepancy of sequences (in theory and application), dynamical systems, prime numbers, and actuarial mathematics. Offering valuable insights into recent developments in these areas, the book will be of interest to researchers and graduate students engaged in number theory and its applications.