Problems in analytic number theory

書誌事項

Problems in analytic number theory

M. Ram Murty

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

Springer, c2001

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注記

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

内容説明・目次

内容説明

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.

目次

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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詳細情報

  • NII書誌ID(NCID)
    BA50238074
  • ISBN
    • 0387951431
  • LCCN
    00061865
  • 出版国コード
    us
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    New York
  • ページ数/冊数
    xvi, 452 p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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