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arXiv · 2301.01925

Selberg's central limit theorem of $L$-functions near the critical line

Yoonbok Lee
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Abstract

We find an asymptotic expansion of a multi-dimensional version of Selberg's central limit theorem for $L$-functions on $ \sigma= \frac12 + ( \log T)^{-\theta}$ and $ t \in [ T, 2T]$, where $ 0 < \theta < \frac12 $ is a constant.

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Yoonbok Lee. 2023-01-05. Selberg's central limit theorem of $L$-functions near the critical line. https://arxiv.org/abs/2301.01925

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