TY - BOOK AU - ED - SpringerLink (Online service) TI - Problems in Analytic Number Theory T2 - Graduate Texts in Mathematics, SN - 9780387723501 AV - QA241-247.5 U1 - 512.7 23 PY - 2008/// CY - New York, NY PB - Springer New York KW - Mathematics KW - Combinatorics KW - Number theory KW - Number Theory N1 - 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; ZDB-2-SMA N2 - 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 UR - http://dx.doi.org/10.1007/978-0-387-72350-1 ER -