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arXiv · 1112.1642

A quadratic large sieve inequality over number fields

Leo Goldmakher·Benoit Louvel
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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.

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Leo Goldmakher, Benoit Louvel. 2012-05-31. A quadratic large sieve inequality over number fields. https://arxiv.org/abs/1112.1642

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