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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: [email protected]
BENOÎT LOUVEL
Affiliation:
Mathematisches Institut Göttingen, Bunsenstr. 3-5, 37073 Göttingen, Germany. e-mail: [email protected]
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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.

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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