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On the large sieve inequality in an algebraic number field

Published online by Cambridge University Press:  26 February 2010

P. D. Schumer
P. D. Schumer
Affiliation:
Department of Mathematics Computer Science, Middlebury College, Middlebury, Vermont, 05753, U.S.A.
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Extract

Large sieve inequalities have been developed and applied to a host of arithmetical problems since their inception by Linnik in 1941. Such inequalities provide mean square estimates for a trigonometric polynomial over a set of well-spaced points. In particular, let x ∈ ℝ and let

Type
Research Article
Information
Mathematika , Volume 33 , Issue 1 , June 1986 , pp. 31 - 54
Copyright
Copyright © University College London 1986

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