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

Published 24 Jul 2015 in math.NT | (1507.07031v4)

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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