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Some applications of Bombieri's theorem

Published online by Cambridge University Press:  26 February 2010

P. D. T. A. Elliott  and
H. Halberstam
P. D. T. A. Elliott
Affiliation:
University of Nottingham, University of Michigan
H. Halberstam
Affiliation:
University of Nottingham, University of Michigan
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Extract

A famous conjecture of Hardy and Littlewood [4] stated that all sufficiently large integers n could be represented in the form

where p is a rational prime and x, y are integers. G. K. Stanley [9] showed that this result held for “almost all” integers n if one assumed a hypothesis concerning the zeros of L-functions similar to, though weaker than, the extended Riemann hypothesis.

Information

Type
Research Article
Information
Mathematika , Volume 13 , Issue 2 , December 1966 , pp. 196 - 203
Copyright
Copyright © University College London 1966

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References

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