On a Question of Keating and Rudnick about Primitive Dirichlet Characters with Squarefree Conductor

Nicholas M. Katz

Type: Article

Publication Date: 2012-06-04

Citations: 31

DOI: https://doi.org/10.1093/imrn/rns143

Abstract

We prove equidistribution results, in the function field setting, for the L-functions attached to primitive, odd Dirichlet characters with a fixed squarefree conductor.

Locations

International Mathematics Research Notices - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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+	Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms	2012	Nicholas M. Katz
+	Twisted L-functions and monodromy	2001	Nicholas M. Katz
+	La conjecture de Weil. I	1974	Pierre Deligne
+	Algebraic Groups Over Finite Fields	1956	Serge Lang
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+	La Conjecture de Weil. II	1980	Pierre Deligne