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SATO-TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN L-FUNCTIONS

Journal article
Authors A. Shankar
Anders Södergren
N. Templier
Published in Forum of Mathematics Sigma
Volume 7
ISSN 2050-5094
Publication year 2019
Published at Department of Mathematical Sciences, Algebra and Geometry
Language en
Links dx.doi.org/10.1017/fms.2019.18
Keywords low-lying zeros, dirichlet l-functions, zeta-functions, vector-spaces, binary forms, density, discriminants, theorems, number, field, Mathematics
Subject categories Mathematics

Abstract

We study various families of Artin L-functions attached to geometric parametrizations of number fields. In each case we find the Sato-Tate measure of the family and determine the symmetry type of the distribution of the low-lying zeros.

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