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Problems in Analytic Number Theory de M. Ram Murty

Problems in Analytic Number Theory: Graduate Texts in Mathematics, cartea 206

Autor M. Ram Murty
en Limba Engleză Hardback – 18 dec 2007
This informative and exhaustive study gives a problem-solving approach to the difficult subject of analytic number theory. It provides a rapid introduction to analytic methods and the ways in which they are used to study the distribution of prime numbers.
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Specificații

ISBN-13: 9780387723495
ISBN-10: 0387723498
Pagini: 502
Ilustrații: XXII, 506 p.
Dimensiuni: 155 x 235 x 28 mm
Greutate: 0.84 kg
Ediția:2nd ed. 2008
Editura: Springer
Colecția Springer
Seriile Graduate Texts in Mathematics, Readings in Mathematics

Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

Problems.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.- Solutions.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.

Recenzii

M.R. Murty
Problems in Analytic Number Theory
"The reviewer strongly approves of the problem-based approach to learning, and recommends this book to any student of analytic number theory."
—MATHEMATICAL REVIEWS
From the reviews of the second edition:
“This expanded and corrected second edition of this useful and interesting book has a new chapter on the topic of equidistribution. … this monograph gives important results and techniques for specific topics, together with many exercises. … I do enjoy this book … and I imagine when I take the graduate course in the subject that it will be of a greater benefit, which is why I offered such a high rating.” (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, July, 2013)
"The second edition of the book has eleven chapters … . the book can be used both as a problem book (as its title shows) and also as a textbook (as the series in which the book is published shows). … is ideal as a text for a first course in analytic number theory, either at the senior undergraduate or the graduate level. … I believe that this book will be very useful for students, researchers and professors. It is well written … ." (Mehdi Hassani, MathDL, April, 2008)

Textul de pe ultima copertă

This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate students and senior undergraduates. 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. It is ideal for a first course in analytic number theory. The new edition has been completely rewritten, errors have been corrected, and there is a new chapter on equidistribution.
About the first edition:
"...this monograph gives important results and techniques for specific topics, together with many exercises; it is not possible to describe adequately the wealth of material covered in this book."
- Wolfgang Schwarz, Zentralblatt

Caracteristici

Contains a combination of well-organized theory and problems The problems successfully guide students through the most important areas of analytic number theory Includes more than 500 exercises at varying levels of difficulty Covers an improved Eratosthenes sieve, without the typical combinatorics Includes a clear exposition of Brun’s and Selberg’s sieves Includes supplementary material: sn.pub/extras