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arxiv: 1507.07031 · v4 · pith:HZG5FLUJnew · submitted 2015-07-24 · 🧮 math.NT

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

classification 🧮 math.NT
keywords artinfamiliessato-tateattachedcasecertaindeterminedistribution
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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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