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arXiv · 1507.07031

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

Arul Shankar·Anders Södergren·Nicolas Templier
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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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Arul Shankar, Anders Södergren, Nicolas Templier. 2015-07-24. Sato-Tate equidistribution of certain families of Artin L-functions. https://arxiv.org/abs/1507.07031

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