SATO-TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN L-FUNCTIONS
Journal article, 2019
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.
Author
Arul Shankar
University of Toronto
Anders Södergren
Chalmers, Mathematical Sciences, Algebra and geometry
Nicolas Templier
Cornell University
Forum of Mathematics, Sigma
20505094 (eISSN)
Vol. 7 e23Subject Categories
Algebra and Logic
Geometry
Mathematical Analysis
DOI
10.1017/fms.2019.18