Two dimensional value-distribution of cubic Hecke $L$-functions
Number Theory
2021-03-30 v1
Abstract
We establish the two-dimensional asymptotic distributions of the logarithm and logarithmic derivative of -functions associated with a family of cubic Hecke characters. A crucial ingredient in the proof of our main result is an exponential decay estimate for the characteristic functions of the distributions.
Keywords
Cite
@article{arxiv.2103.14786,
title = {Two dimensional value-distribution of cubic Hecke $L$-functions},
author = {Amir Akbary and Alia Hamieh},
journal= {arXiv preprint arXiv:2103.14786},
year = {2021}
}