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The large sieve

Published online by Cambridge University Press:  26 February 2010

H. L. Montgomery  and
R. C. Vaughan
H. L. Montgomery
Affiliation:
The University of Michigan, Ann Arbor, Michigan, U.S.A.
R. C. Vaughan
Affiliation:
Imperial College, London
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Extract

Let S(x) be a trigonometric polynomial,

where N > 0 and M are integers, the an are arbitrary complex numbers, and e(x) = e2πix. In its basic form, the large sieve of Linnik and Rényi is an inequality of the form

Information

Type
Research Article
Information
Mathematika , Volume 20 , Issue 2 , December 1973 , pp. 119 - 134
Copyright
Copyright © University College London 1973

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