Sato-Tate equidistribution of certain families of Artin L-functions

2015/07/24 by Shankar, Arul, Södergren, Anders, Templier, Nicolas · 2 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1507.07031

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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