Abstract
We apply the resonance method to Montgomery's convolution formula for $\operatorname{Re}\left(e^{-i\theta}\log\zeta(\sigma+it)\right)$ in the strip $1/2 < \sigma < 1$. This gives new insight into maximal values of $\operatorname{Re}\left(e^{-i\theta}\log\zeta(\sigma+it)\right)$ for $t \in [T^{\beta},T]$ for all $\beta \in (0,1)$ and real $\theta$.
Citation
Mikko Jaskari. "Applying the Resonance Method to ${\operatorname{R{e}}{\left(e^{-i\theta}\log\zeta(\sigma+it)\right)}}$." Funct. Approx. Comment. Math. 70 (2) 263 - 275, 06 2024. https://doi.org/10.7169/facm/2119
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