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A quadratic large sieve inequality over number fields

Published online by Cambridge University Press:  03 October 2012

LEO GOLDMAKHER  and
BENOÎT LOUVEL
LEO GOLDMAKHER
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON, Canada. e-mail: leo.goldmakher@utoronto.ca
BENOÎT LOUVEL
Affiliation:
Mathematisches Institut Göttingen, Bunsenstr. 3-5, 37073 Göttingen, Germany. e-mail: blouvel@uni-math.gwdg.de
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Abstract

We formulate and prove a large sieve inequality for quadratic characters over a number field. To do this, we introduce the notion of an n-th order Hecke family. We develop the basic theory of these Hecke families, including versions of the Poisson summation formula.

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 154 , Issue 2 , March 2013 , pp. 193 - 212
Copyright
Copyright © Cambridge Philosophical Society 2012

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References

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