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arXiv · 2307.02344

Applying the Resonance Method to $\textrm{Re}\left(e^{-i\theta}\log\zeta(\sigma+it)\right)$

Mikko Jaskari
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Abstract

We apply the resonance method to Montgomery's convolution formula for $\textrm{Re}\left(e^{-i\theta}\log\zeta(\sigma+it)\right)$ in the strip $1/2 < \sigma < 1$. This gives new insight into maximal values of $\textrm{Re}\left(e^{-i\theta}\log\zeta(\sigma+it)\right)$ for $t \in [T^{\beta},T]$ for all $\beta \in (0,1)$ and real $\theta$.

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Mikko Jaskari. 2023-07-05. Applying the Resonance Method to $\textrm{Re}\left(e^{-i\theta}\log\zeta(\sigma+it)\right)$. https://arxiv.org/abs/2307.02344

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