A quadratic large sieve inequality over number fields

Published 7 Dec 2011 in math.NT | (1112.1642v2)

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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