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Problems in Analytic Number Theory

Problems in Analytic Number Theory
Catalogue Information
Field name Details
Dewey Class 512.7
Title Problems in Analytic Number Theory ([Ebook]) / by M. Ram Murty.
Author Murty, Maruti Ram
Other name(s) SpringerLink (Online service)
Edition statement 2nd ed.
Publication New York, NY : Springer , 2008.
Physical Details XXII, 506 pages : online resource.
Series Graduate texts in mathematics 0072-5285 ; ; 206
ISBN 9780387723501
Summary Note 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:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-0-387-72350-1
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