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Analytic Number Theory: Exploring the Anatomy of Integers, Jean-Marie De Koninck, Florian Luca


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Автор: Jean-Marie De Koninck, Florian Luca
Название:  Analytic Number Theory: Exploring the Anatomy of Integers
ISBN: 9780821875773
Издательство: Mare Nostrum (Eurospan)
Классификация:
ISBN-10: 0821875779
Обложка/Формат: Hardback
Страницы: 420
Вес: 0.91 кг.
Дата издания: 30.05.2012
Серия: Graduate studies in mathematics
Язык: English
Иллюстрации: Illustrations
Размер: 188 x 262 x 26
Читательская аудитория: Professional and scholarly
Ключевые слова: 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.

Combinatorial Number Theory: Proceedings of the  "Integers Conference 2011, " Carrollton, Georgia, USA, October 26-29, 2011

Автор: Landman Bruce, Nathanson Melvyn B., Ne Etril Jaros
Название: Combinatorial Number Theory: Proceedings of the "Integers Conference 2011, " Carrollton, Georgia, USA, October 26-29, 2011
ISBN: 3110280485 ISBN-13(EAN): 9783110280487
Издательство: Walter de Gruyter
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Цена: 185890.00 T
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Описание: This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks. This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences.

Notes on the Witt Classification of Hermitian Innerproduct Spaces over a Ring of Algebraic Integers

Автор: P. E. Jr. Conner
Название: Notes on the Witt Classification of Hermitian Innerproduct Spaces over a Ring of Algebraic Integers
ISBN: 0292740670 ISBN-13(EAN): 9780292740679
Издательство: Marston Book Services
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Цена: 26390.00 T
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Описание: These lectures are intended to give mathematicians at the graduate level and beyond some powerful algebraic and number theoretical tools for formulating and solving certain types of classification problems in topology.

Exploring Continued Fractions: From the Integers to Solar Eclipses

Автор: Andrew J. Simoson
Название: Exploring Continued Fractions: From the Integers to Solar Eclipses
ISBN: 1470447959 ISBN-13(EAN): 9781470447953
Издательство: Mare Nostrum (Eurospan)
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Цена: 53590.00 T
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Описание: There is a nineteen-year recurrence in the apparent position of the sun and moon against the background of the stars, a pattern observed long ago by the Babylonians. In the course of those nineteen years the Earth experiences 235 lunar cycles. Suppose we calculate the ratio of Earth's period about the sun to the moon's period about Earth. That ratio has 235/19 as one of its early continued fraction convergents, which explains the apparent periodicity. Exploring Continued Fractions explains this and other recurrent phenomena—astronomical transits and conjunctions, lifecycles of cicadas, eclipses—by way of continued fraction expansions. The deeper purpose is to find patterns, solve puzzles, and discover some appealing number theory. The reader will explore several algorithms for computing continued fractions, including some new to the literature. He or she will also explore the surprisingly large portion of number theory connected to continued fractions: Pythagorean triples, Diophantine equations, the Stern-Brocot tree, and a number of combinatorial sequences. The book features a pleasantly discursive style with excursions into music (The Well-Tempered Clavier), history (the Ishango bone and Plimpton 322), classics (the shape of More's Utopia) and whimsy (dropping a black hole on Earth's surface). Andy Simoson has won both the Chauvenet Prize and Pólya Award for expository writing from the MAA and his Voltaire's Riddle was a Choice magazine Outstanding Academic Title. This book is an enjoyable ramble through some beautiful mathematics. For most of the journey the only necessary prerequisites are a minimal familiarity with mathematical reasoning and a sense of fun.

Uniform Distribution of Sequences of Integers in Residue Classes

Автор: W. Narkiewicz
Название: Uniform Distribution of Sequences of Integers in Residue Classes
ISBN: 3540138722 ISBN-13(EAN): 9783540138723
Издательство: Springer
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Цена: 23250.00 T
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Representations of Integers as Sums of Squares

Автор: E. Grosswald
Название: Representations of Integers as Sums of Squares
ISBN: 1461385687 ISBN-13(EAN): 9781461385684
Издательство: Springer
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Цена: 97820.00 T
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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: 121440.00 T
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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.

Zeta Integrals, Schwartz Spaces and Local Functional Equatio

Название: Zeta Integrals, Schwartz Spaces and Local Functional Equatio
ISBN: 3030012875 ISBN-13(EAN): 9783030012878
Издательство: Springer
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Цена: 41920.00 T
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Описание: This book focuses on a conjectural class of zeta integrals which arose from a program born in the work of Braverman and Kazhdan around the year 2000, the eventual goal being to prove the analytic continuation and functional equation of automorphic L-functions.Developing a general framework that could accommodate Schwartz spaces and the corresponding zeta integrals, the author establishes a formalism, states desiderata and conjectures, draws implications from these assumptions, and shows how known examples fit into this framework, supporting Sakellaridis' vision of the subject. The collected results, both old and new, and the included extensive bibliography, will be valuable to anyone who wishes to understand this program, and to those who are already working on it and want to overcome certain frequently occurring technical difficulties.

Limits, Series, and Fractional Part Integrals

Автор: Ovidiu Furdui
Название: Limits, Series, and Fractional Part Integrals
ISBN: 1461467616 ISBN-13(EAN): 9781461467618
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book offers tools for solving problems specializing in three topics of mathematical analysis: limits, series and fractional part integrals. Includes a section of Quickies: problems which have had uexpectedly succinct solutions, as well as Open Problems.

Integral Closure

Автор: Wolmer Vasconcelos
Название: Integral Closure
ISBN: 3642064922 ISBN-13(EAN): 9783642064920
Издательство: Springer
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Цена: 144410.00 T
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Описание: This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. Its main goal is to provide complexity estimates by tracking numerically invariants of the structures that may occur.

Primality Testing and Integer Factorization in Public-Key Cryptography

Автор: Song Y. Yan
Название: Primality Testing and Integer Factorization in Public-Key Cryptography
ISBN: 1441945865 ISBN-13(EAN): 9781441945860
Издательство: Springer
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Цена: 153720.00 T
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Описание: Intended for advanced level students in computer science and mathematics, this key text, now in a brand new edition, provides a survey of recent progress in primality testing and integer factorization, with implications for factoring based public key cryptography.


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