The Distribution of Prime Numbers

THIS interesting “Cambridge Tract” is concerned mainly with the behaviour, for large values of x, of the function n(x), which denotes the number of primes not exceeding x. The first chapter gives some elementary theorems concerning TT(O:), that is to say, theorems which can be proved without the use of the complex variable. In the second chapter the prime number theorem, namely 7t(x)˜x/log x, is proved with the aid of the Riemann zeta-function. The remaining three chapters deal with more precise relations.The Distribution of Prime Numbers.By A. E. Ingham. (Cambridge Tracts in Mathematics and Mathematical Physics, No. 30.) Pp. vi + 114. (Cambridge: At the University Press, 1932.) 7s. 6d. net.

• Publication year

  2006

• Venue

  Nature

• Publication date

  2006-06-16

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1038/132732d0arXiv math/0606408
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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