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Problems in Analytic Number Theory
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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)
Publication
New York, NY : Springer , 2001.
Physical Details
XVI, 456 pages : online resource.
Series
Graduate Texts in Mathematics, Readings in Mathematics
0072-5285 ; ; 206
ISBN
9781475734416
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
I Problems -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number Theorem -- 4 The Method of Contour Integration -- 5 Functional Equations -- 6 Hadamard Products -- 7 Explicit Formulas -- 8 The Selberg Class -- 9 Sieve Methods -- 10 p-adic Methods -- II Solutions -- 1 Arithmetic Functions -- 2 Primes in Arithmetic Progressions -- 3 The Prime Number Theorem -- 4 The Method of Contour Integration -- 5 Functional Equations -- 6 Hadamard Products -- 7 Explicit Formulas -- 8 The Selberg Class -- 9 Sieve Methods -- 10 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/10.1007/978-1-4757-3441-6
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Subject References:
Mathematics
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Number Theory
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Authors:
Murty, Maruti Ram
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Corporate Authors:
SpringerLink (Online service)
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Series:
Graduate Texts in Mathematics, Readings in Mathematics
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Classification:
512.7
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