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arXiv · 2101.00632

An asymptotic expansion of Selberg's central limit theorem near the critical line

Yoonbok Lee
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Abstract

We find an asymptotic expansion of Selberg's central limit theorem for the Riemann zeta function on $σ= \frac12 + ( \log T)^{-θ}$ and $t \in [T, 2T]$, where $ 0 < θ< \frac12$ is a constant.

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Yoonbok Lee. 2021-06-03. An asymptotic expansion of Selberg's central limit theorem near the critical line. https://arxiv.org/abs/2101.00632

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