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A quadratic large sieve inequality over number fields
Published online by Cambridge University Press: 03 October 2012
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.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 154 , Issue 2 , March 2013 , pp. 193 - 212
- Copyright
- Copyright © Cambridge Philosophical Society 2012
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