Article
Licensed
Unlicensed
Requires Authentication
The large sieve, monodromy and zeta functions of curves
-
E Kowalski
Published/Copyright:
February 12, 2007
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.
Received: 2005-03-30
Published Online: 2007-02-12
Published in Print: 2006-12-19
© Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Classes réalisables d'extensions non abéliennes
- The large sieve, monodromy and zeta functions of curves
- Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators
- A polynomial divisor problem
- Non-archimedean amoebas and tropical varieties
- Intertwining matrices for number fields: Supplement to “Intertwiners and the K-theory of commutative rings”
- An asymptotic formula for real groups
Articles in the same Issue
- Classes réalisables d'extensions non abéliennes
- The large sieve, monodromy and zeta functions of curves
- Spectral estimates and non-selfadjoint perturbations of spheroidal wave operators
- A polynomial divisor problem
- Non-archimedean amoebas and tropical varieties
- Intertwining matrices for number fields: Supplement to “Intertwiners and the K-theory of commutative rings”
- An asymptotic formula for real groups
