The distribution of prime numbers

書誌事項

The distribution of prime numbers

by A.E. Ingham

(Cambridge mathematical library)(Cambridge tracts in mathematics and mathematical physics, no. 30)

Cambridge University Press, 1990

  • : pbk

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注記

First published 1932 in Cambridge tracts in mathematics and mathematical physics

Reissued as a paperback with a foreword by R.C. Vaughan in the Cambridge mathematical library series 1990

Bibliography: p. [108]-114

内容説明・目次

内容説明

Originally published in 1934 in the Cambridge Tracts, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. The major part of the book is devoted to the analytical theory founded on the zeta-function of Riemann. Despite being out of print for a long time, this Tract still remains unsurpassed as an introduction to the field, combining an economy of detail with a clarity of exposition which eases the novice into this area.

目次

  • Preface
  • Introduction
  • 1. Elementary theorems
  • 2. The prime number theorem
  • 3. Further theory of ( ). applications
  • 4. Explicit formulae
  • 5. Irregularities of distribution
  • Bibliography.

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