Central limit theorem for Artin L-functions

Peter J. Cho, Henry H. Kim

Type: Article

Publication Date: 2016-04-07

Citations: 14

DOI: https://doi.org/10.1142/s1793042117500014

Abstract

We show that the sum of the traces of Frobenius elements of Artin [Formula: see text]-functions in a family of [Formula: see text]-fields satisfies the Gaussian distribution under certain counting conjectures. We prove the counting conjectures for [Formula: see text] and [Formula: see text]-fields. We also prove a central limit theorem for the [Formula: see text]-functions of modular forms on congruence subgroups [Formula: see text] as [Formula: see text].

Locations

International Journal of Number Theory - View
arXiv (Cornell University) - View - PDF

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