On the value-distribution of symmetric power L-functions
Number Theory
2018-08-20 v1
Abstract
We first briefly survey the value-distribution theory of L-functions of the Bohr-Jessen flavor (or the theory of "M-functions"). Limit formulas for the Riemann zeta-function, Dirichlet L-functions, automorphic L-functions etc. are discussed. Then we prove new results on the value-distribution of symmetric power L-functions, which are limit formulas involving associated M-functions.
Keywords
Cite
@article{arxiv.1808.05749,
title = {On the value-distribution of symmetric power L-functions},
author = {Kohji Matsumoto and Yumiko Umegaki},
journal= {arXiv preprint arXiv:1808.05749},
year = {2018}
}
Comments
20pages