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Analytic Number Theory, Jean-Marie De Koninck |Florian Luca


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Автор: Jean-Marie De Koninck |Florian Luca
Название:  Analytic Number Theory
ISBN: 9781470473853
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 1470473852
Обложка/Формат: Paperback
Страницы: 414
Вес: 0.00 кг.
Дата издания: 31.01.2021
Серия: Graduate Studies in Mathematics
Язык: English
Основная тема: Number theory
Подзаголовок: Exploring the Anatomy of Integers
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Поставляется из: Англии
Описание: The authors assemble a fascinating collection of topics from analytic number theory that provides an introduction to the subject with a very clear and unique focus on the anatomy of integers, that is, on the study of the multiplicative structure of the integers. Some of the most important topics presented are the global and local behavior of arithmetic functions, an extensive study of smooth numbers, the Hardy-Ramanujan and Landau theorems, characters and the Dirichlet theorem, the $abc$ conjecture along with some of its applications, and sieve methods. The book concludes with a whole chapter on the index of composition of an integer.One of this books best features is the collection of problems at the end of each chapter that have been chosen carefully to reinforce the material. The authors include solutions to the even-numbered problems, making this volume very appropriate for readers who want to test their understanding of the theory presented in the book.
Дополнительное описание: Number theory



Problems in Analytic Number Theory

Автор: Murty
Название: Problems in Analytic Number Theory
ISBN: 0387723498 ISBN-13(EAN): 9780387723495
Издательство: Springer
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Цена: 7680.00 р.
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Описание: This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. The goal is to provide a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods.

Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

Автор: Kevin Broughan
Название: Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents
ISBN: 1107197120 ISBN-13(EAN): 9781107197121
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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Описание: This two-volume work presents the main known equivalents to the Riemann hypothesis, perhaps the most important problem in mathematics. Volume 2 covers equivalents with a strong analytic orientation and is supported by an extensive set of appendices.

Cryptographic Applications of Analytic Number Theory / Complexity Lower Bounds and Pseudorandomness

Автор: Shparlinski Igor
Название: Cryptographic Applications of Analytic Number Theory / Complexity Lower Bounds and Pseudorandomness
ISBN: 3764366540 ISBN-13(EAN): 9783764366544
Издательство: Springer
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Цена: 15372.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: The book introduces new ways of using analytic number theory in cryptography and related areas, such as complexity theory and pseudorandom number generation.Cryptographers and number theorists will find this book useful. The former can learn about new number theoretic techniques which have proved to be invaluable cryptographic tools, the latter about new challenging areas of applications of their skills.

Analytic Number Theory

Автор: Marvin I. Knopp
Название: Analytic Number Theory
ISBN: 3540111735 ISBN-13(EAN): 9783540111733
Издательство: Springer
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Цена: 6981.00 р.
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Number Theory

Автор: Henri Cohen
Название: Number Theory
ISBN: 1441923888 ISBN-13(EAN): 9781441923882
Издательство: Springer
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Цена: 6981.00 р.
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Описание: This book deals with several aspects of what is now called "explicit number theory." The central theme is the solution of Diophantine equations. This unique collection of topics contains more than 350 exercises and its text is largely self-contained.

Introduction to Analytic Number Theory

Автор: Komaravolu Chandrasekharan
Название: Introduction to Analytic Number Theory
ISBN: 3642461263 ISBN-13(EAN): 9783642461262
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This book has grown out of a course of lectures I have given at the Eidgenossische Technische Hochschule, Zurich. I have to acknowledge my indebtedness to Professor Carl Ludwig Siegel, who has read the book, both in manuscript and in print, and made a number of valuable criticisms and suggestions.

Basic Analytic Number Theory

Автор: Anatolij A. Karatsuba; M.B. Nathanson
Название: Basic Analytic Number Theory
ISBN: 3642634362 ISBN-13(EAN): 9783642634369
Издательство: Springer
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Цена: 11179.00 р.
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Описание: This English translation of Karatsuba`s Basic Analytic Number Theory follows closely the second Russian edition, published in Moscow in 1983. Analytic number theory is that part of number theory in which, besides purely number theoretic arguments, the methods of mathematical analysis play an essential role.

Analytic Number Theory

Автор: Donald J. Newman
Название: Analytic Number Theory
ISBN: 1475771657 ISBN-13(EAN): 9781475771657
Издательство: Springer
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Цена: 6567.00 р.
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Описание: Some of the central topics in number theory, presnted in a simple and concise fashion. All the topics are presented in a refreshingly elegant and efficient manner with clever examples and interesting problems throughout. The text is suitable for a graduate course in analytic number theory.

Applications of Diophantine Approximation to Integral Points

Автор: Corvaja Pietro
Название: Applications of Diophantine Approximation to Integral Points
ISBN: 1108424945 ISBN-13(EAN): 9781108424943
Издательство: Cambridge Academ
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Цена: 18216.00 р.
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Описание: This introduction to Diophantine approximation and Diophantine equations, with applications to related topics, pays special regard to Schmidt`s subspace theorem. It contains a number of results, some never before published in book form, and some new. The authors introduce various techniques and open questions to guide future research.

Cryptographic Applications of Analytic Number Theory

Автор: Igor Shparlinski
Название: Cryptographic Applications of Analytic Number Theory
ISBN: 3034894155 ISBN-13(EAN): 9783034894159
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The book introduces new techniques that imply rigorous lower bounds on the com- plexity of some number-theoretic and cryptographic problems. These functions are considered over the residue ring modulo p and over the residue ring modulo an arbitrary divisor d of p - 1.

Analytic Methods in Arithmetic Geometry

Автор: Alina Bucur, David Zureick-Brown
Название: Analytic Methods in Arithmetic Geometry
ISBN: 1470437848 ISBN-13(EAN): 9781470437848
Издательство: Mare Nostrum (Eurospan)
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Цена: 16302.00 р.
Наличие на складе: Нет в наличии.

Описание: This volume contains the proceedings of the Arizona Winter School 2016, which was held from March 12-16, 2016, at The University of Arizona, Tucson, AZ. In the last decade or so, analytic methods have had great success in answering questions in arithmetic geometry and number theory. The School provided a unique opportunity to introduce graduate students to analytic methods in arithmetic geometry. The book contains four articles. Alina C. Cojocaru's article introduces sieving techniques to study the group structure of points of the reduction of an elliptic curve modulo a rational prime via its division fields. Harald A. Helfgott's article provides an introduction to the study of growth in groups of Lie type, with $\mathrm{SL}_2(\mathbb{F}_q)$ and some of its subgroups as the key examples. The article by Etienne Fouvry, Emmanuel Kowalski, Philippe Michel, and Will Sawin describes how a systematic use of the deep methods from $\ell$-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz and Laumon help make progress on various classical questions from analytic number theory. The last article, by Andrew V. Sutherland, introduces Sato-Tate groups and explores their relationship with Galois representations, motivic $L$-functions, and Mumford-Tate groups.

Analytic Number Theory, Modular Forms and q-Hypergeometric Series

Автор: George E. Andrews; Frank Garvan
Название: Analytic Number Theory, Modular Forms and q-Hypergeometric Series
ISBN: 3319885928 ISBN-13(EAN): 9783319885926
Издательство: Springer
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Цена: 46118.00 р.
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Описание: Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory.


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