Joint value distribution of $L$-functions on the critical line

Shōta Inoue; Junxian Li

Joint value distribution of $L$-functions on the critical line

Number Theory 2021-02-26 v1

Authors: Shōta Inoue , Junxian Li

Abstract

In this paper, we discuss the joint value distribution of $L$ -functions in a suitable class. We obtain joint large deviations results in the central limit theorem for these $L$ -functions and some mean value theorems, which give evidence that different $L$ -functions are "statistically independent".

Keywords

L-functions joint value distribution critical line central limit theorem large deviations mean value theorems statistical independence

Cite

@article{arxiv.2102.12724,
  title  = {Joint value distribution of $L$-functions on the critical line},
  author = {Shōta Inoue and Junxian Li},
  journal= {arXiv preprint arXiv:2102.12724},
  year   = {2021}
}

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65 pages

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