Skip to main content
×
Home
    • Aa
    • Aa

On the distribution of primes in short intervals

  • P. X. Gallagher (a1)
Abstract

One of the formulations of the prime number theorem is the statement that the number of primes in an interval (n, n + h], averaged over nN, tends to the limit λ, when N and h tend to infinity in such a way that hλ log N, with λ a positive constant.

Copyright
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

1.E. Bombieri and H. Davenport . “Small differences between prime numbers”, Proc. Roy. Soc. Ser. A. 293 (1966), 118.

3.G. H. Hardy and J. E. Littlewood . “Some problems of ‘Partitio Numerorum’: III. On the expression of a number as a sum of primes“, Acta Mathematica, 44 (1922), 170.

5.C. Hooley . “On the intervals between consecutive terms of sequences”, Proc. Symp. Pure Math., 24 (1973), 129140.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Mathematika
  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×
MathJax

Keywords: