Problems in Analytic Number Theory

AvM. Ram Murty

Häftad, Engelska, 2010

Del i serien Graduate Texts in Mathematics

639 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Fler format och utgåvor

Inbunden

586 kr

Beskrivning

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.

Produktinformation

Utgivningsdatum:2010-11-19
Mått:155 x 235 x 32 mm
Vikt:775 g
Format:Häftad
Språk:Engelska
Serie:Graduate Texts in Mathematics
Antal sidor:506
Upplaga:2
Förlag:Springer-Verlag New York Inc.
ISBN:9781441924773

Utforska kategorier

Recensioner i media

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)

Innehållsförteckning

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.