A quadratic large sieve inequality over number fields

2011/12/07 by Goldmakher, Leo, Louvel, Benoit
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1112.1642

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.

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