Problems in analytic number theory

Author(s)

Bibliographic Information

Problems in analytic number theory

M. Ram Murty

(Graduate texts in mathematics, 206 . Readings in mathematics)

Springer, c2001

Available at  / 88 libraries

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Note

Includes bibliographical references (p. [447]-448) and index

Description and Table of Contents

Description

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.

Table of Contents

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.- References.

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Details

  • NCID
    BA50238074
  • ISBN
    • 0387951431
  • LCCN
    00061865
  • Country Code
    us
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    New York
  • Pages/Volumes
    xvi, 452 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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