A quadratic large sieve inequality over number fields
Number Theory
2012-06-01 v2
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.
Cite
@article{arxiv.1112.1642,
title = {A quadratic large sieve inequality over number fields},
author = {Leo Goldmakher and Benoit Louvel},
journal= {arXiv preprint arXiv:1112.1642},
year = {2012}
}
Comments
21 pages, some minor corrections and explanations added