A quadratic large sieve inequality over number fields

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.

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Bibliographic Details
Published in:Mathematical proceedings of the Cambridge Philosophical Society 2013-03, Vol.154 (2), p.193-212
Main Authors: GOLDMAKHER, LEO, LOUVEL, BENOÎT
Format: Article
Language:English
Subjects:
Inequalities
Mathematical analysis
Mathematics
Number theory
Sieves
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Summary: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.
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004112000370