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

Shōta Inoue; Junxian Li

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arXiv · 2102.12724

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

Shōta Inoue·Junxian Li

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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".

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Shōta Inoue, Junxian Li. 2021-02-25. Joint value distribution of $L$-functions on the critical line. https://arxiv.org/abs/2102.12724

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