The large sieve, monodromy and zeta functions of curves

Details The large sieve, monodromy and zeta functions of curves The large sieve, monodromy and zeta functions of curves

2005-03-30

arxiv.org/abs/math/0503714v1

Mathematics

Number Theory

30 pages

Scientific paper

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.

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