Simultaneous extreme values of zeta and L-functions
Number Theory
2023-06-14 v1
Abstract
We show that distinct primitive L-functions can achieve extreme values simultaneously on the critical line. Our proof uses a modification of the resonance method and can be applied to establish simultaneous extreme central values of L-functions in families.
Keywords
Cite
@article{arxiv.2306.07777,
title = {Simultaneous extreme values of zeta and L-functions},
author = {Winston Heap and Junxian Li},
journal= {arXiv preprint arXiv:2306.07777},
year = {2023}
}
Comments
37 pages