Auxiliary Polynomials In Number Theory
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Auxiliary Polynomials In Number Theory
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Author : David Masser
language : en
Publisher: Cambridge University Press
Release Date : 2016-07-21
Auxiliary Polynomials In Number Theory written by David Masser and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-21 with Mathematics categories.
A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.
Auxiliary Polynomials In Number Theory
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Author : David Masser
language : en
Publisher: Cambridge University Press
Release Date : 2016-07-21
Auxiliary Polynomials In Number Theory written by David Masser and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-21 with Mathematics categories.
This unified account of various aspects of a powerful classical method, easy to understand in its simplest forms, is illustrated by applications in several areas of number theory. As well as including diophantine approximation and transcendence, which were mainly responsible for its invention, the author places the method in a broader context by exploring its application in other areas, such as exponential sums and counting problems in both finite fields and the field of rationals. Throughout the book, the method is explained in a 'molecular' fashion, where key ideas are introduced independently. Each application is the most elementary significant example of its kind and appears with detailed references to subsequent developments, making it accessible to advanced undergraduates as well as postgraduate students in number theory or related areas. It provides over 700 exercises both guiding and challenging, while the broad array of applications should interest professionals in fields from number theory to algebraic geometry.
Number Theory And Polynomials
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Author : James Fraser McKee
language : en
Publisher: Cambridge University Press
Release Date : 2008-05-08
Number Theory And Polynomials written by James Fraser McKee and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-05-08 with Mathematics categories.
Contributions by leading experts in the field provide a snapshot of current progress in polynomials and number theory.
Transcendental Number Theory
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Author : Alan Baker
language : en
Publisher: Cambridge University Press
Release Date : 1990-09-28
Transcendental Number Theory written by Alan Baker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-28 with Mathematics categories.
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory enriching many branches of pure mathematics. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalisation of the Thue-Siegel-Roth theorem, of Shidlovsky's work on Siegel's |E|-functions and of Sprindzuk's solution to the Mahler conjecture. The volume was revised in 1979: however Professor Baker has taken this further opportunity to update the book including new advances in the theory and many new references.
Fourier Integrals In Classical Analysis
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Author : Christopher D. Sogge
language : en
Publisher: Cambridge University Press
Release Date : 2017-04-27
Fourier Integrals In Classical Analysis written by Christopher D. Sogge and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-27 with Mathematics categories.
This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author uses microlocal analysis to study problems involving maximal functions and Riesz means using the so-called half-wave operator. To keep the treatment self-contained, the author begins with a rapid review of Fourier analysis and also develops the necessary tools from microlocal analysis. This second edition includes two new chapters. The first presents Hörmander's propagation of singularities theorem and uses this to prove the Duistermaat-Guillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff.
Eigenvalues Multiplicities And Graphs
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Author : Charles R. Johnson
language : en
Publisher: Cambridge University Press
Release Date : 2018-02-12
Eigenvalues Multiplicities And Graphs written by Charles R. Johnson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-12 with Mathematics categories.
This book investigates the influence of the graph of a symmetric matrix on the multiplicities of its eigenvalues.
Justification Logic
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Author : Sergei Artemov
language : en
Publisher: Cambridge University Press
Release Date : 2019-05-02
Justification Logic written by Sergei Artemov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-02 with Mathematics categories.
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.
Analytic Number Theory And Diophantine Problems
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Author : A.C. Adolphson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Analytic Number Theory And Diophantine Problems written by A.C. Adolphson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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 With Computations
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Author : Peter Shiu
language : en
Publisher: Springer Nature
Release Date : 2024-09-02
Number Theory With Computations written by Peter Shiu and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-02 with Mathematics categories.
This introductory text is designed for undergraduate courses in number theory, covering both elementary number theory and analytic number theory. The book emphasises computational aspects, including algorithms and their implementation in Python. The book is divided into two parts. The first part, on elementary number theory, deals with concepts such as induction, divisibility, congruences, primitive roots, cryptography, and continued fractions. The second part is devoted to analytic number theory and includes chapters on Dirichlet’s theorem on primes in arithmetic progressions, the prime number theorem, smooth numbers, and the famous circle method of Hardy and Littlewood. The book contains many topics not often found in introductory textbooks, such as Aubry’s theorem, the Tonelli–Shanks algorithm, factorisation methods, continued fraction representations of e, and the irrationality of ζ(3). Each chapter concludes with a summary and notes, as well as numerous exercises. Assuming only basic calculus for the first part of the book, the second part assumes some knowledge of complex analysis. Familiarity with basic coding syntax will be helpful for the computational exercises.
Advances In Cryptology Asiacrypt 2016
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Author : Jung Hee Cheon
language : en
Publisher: Springer
Release Date : 2016-11-14
Advances In Cryptology Asiacrypt 2016 written by Jung Hee Cheon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-14 with Computers categories.
The two-volume set LNCS 10031 and LNCS 10032 constitutes the refereed proceedings of the 22nd International Conference on the Theory and Applications of Cryptology and Information Security, ASIACRYPT 2016, held in Hanoi, Vietnam, in December 2016. The 67 revised full papers and 2 invited talks presented were carefully selected from 240 submissions. They are organized in topical sections on Mathematical Analysis; AES and White-Box; Hash Function; Randomness; Authenticated Encryption; Block Cipher; SCA and Leakage Resilience; Zero Knowledge; Post Quantum Cryptography; Provable Security; Digital Signature; Functional and Homomorphic Cryptography; ABE and IBE; Foundation; Cryptographic Protocol; Multi-Party Computation.