Problems in Analytic Number Theory by U.S.R. Murty

Problems in Analytic Number Theory

byU.S.R. Murty

Hardcover | December 18, 2007

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This informative and exhaustive study 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 the arithmetic progression of primes.

Details & Specs

Title:Problems in Analytic Number TheoryFormat:HardcoverDimensions:528 pages, 9.25 × 6.1 × 0.03 inPublished:December 18, 2007Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387723498

ISBN - 13:9780387723495

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Table of Contents

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.- References.

Editorial Reviews

M.R. MurtyProblems 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 REVIEWSFrom the reviews of the second edition:"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)