The large sieve, monodromy and zeta functions of curves
Number Theory
2007-05-23 v1 Algebraic Geometry
Abstract
We prove a large sieve statement for the average distribution of Frobenius conjugacy classes in arithmetic monodromy groups over finite fields. As a first application we prove a stronger version of a result of Chavdarov on the ``generic'' irreducibility of the numerator of the zeta functions in a family of curves with large monodromy.
Keywords
Cite
@article{arxiv.math/0503714,
title = {The large sieve, monodromy and zeta functions of curves},
author = {Emmanuel Kowalski},
journal= {arXiv preprint arXiv:math/0503714},
year = {2007}
}
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30 pages