Murty, M. Ram. creator author. SpringerLink (Online service) text xxu 2008 2. monographic eng

electronic

recurso electrónico

access XXII, 506 p. online resource. 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 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. by M. Ram Murty. MATHEMATICS COMBINATORICS NUMBER THEORY MATHEMATICS NUMBER THEORY COMBINATORICS 512.7 9780387723501 99780387723501 http://dx.doi.org/10.1007/978-0-387-72350-1 http://dx.doi.org/10.1007/978-0-387-72350-1 100301 20260521091940.0 978-0-387-72350-1