SATO–TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN $L$-FUNCTIONS

SATO–TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN $L$-FUNCTIONS

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.

Bibliographic Details
Main Authors: ARUL SHANKAR, ANDERS SÖDERGREN, NICOLAS TEMPLIER
Format: Article
Language:English
Published: Cambridge University Press 2019-01-01
Series:Forum of Mathematics, Sigma
Subjects:
11R42
11M41 (primary)
11M50 (secondary)
Online Access:https://www.cambridge.org/core/product/identifier/S2050509419000185/type/journal_article

Internet

https://www.cambridge.org/core/product/identifier/S2050509419000185/type/journal_article

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