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Problems in Analytic Number Theory / by M. Ram Murty

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Graduate Texts in Mathematics ; 206 | SpringerLink BücherPublisher: New York, NY : Springer Science+Business Media, LLC, 2008Edition: 2Description: Online-Ressource (digital)ISBN:
  • 9780387723501
Subject(s): Genre/Form: Additional physical formats: 9780387723495 | Buchausg. u.d.T.: Problems in analytic number theory. 2. ed. New York, NY : Springer, 2008. XXI, 502 S.DDC classification:
  • 512.7
  • 512.7/3
  • 510
MSC: MSC: *11-02 | 11Mxx | 11Nxx | 11M38 | 11A25 | 11N35 | 11A41 | 11Kxx | 30DxxRVK: RVK: SK 180LOC classification:
  • QA241-247.5
  • QA241
DOI: DOI: 10.1007/978-0-387-72350-1Online resources: Summary: 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.Summary: 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.PPN: PPN: 1647019370Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
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