02287nmm a2200301 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100001800139245008100157250001700238260004800255300003300303505056200336653001800898653001800916653001800934653001800952710003400970041001901004989003601023490002801059856007201087082001001159520081601169EB000355999EBX0100000000000000020905100000000000000.0cr|||||||||||||||||||||130626 ||| eng a97803877235011 aMurty, M. Ram00aProblems in Analytic Number TheoryhElektronische Ressourcecby M. Ram Murty a2nd ed. 2008 aNew York, NYbSpringer New Yorkc2008, 2008 aXXII, 506 pbonline resource0 aProblems -- 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 aNumber theory aNumber Theory aCombinatorics aCombinatorics2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aReadings in Mathematics uhttps://doi.org/10.1007/978-0-387-72350-1?nosfx=yxVerlag3Volltext0 a512.7 aThis 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