A quadratic large sieve inequality over number fields

Details A quadratic large sieve inequality over number fields A quadratic large sieve inequality over number fields

2011-12-07

arxiv.org/abs/1112.1642v1

Mathematics

Number Theory

19 pages

Scientific paper

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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