Applying the Resonance Method to $\textrm{Re}\left(e^{-iθ}\logζ(σ+it)\right)$
Mikko Jaskari · arXiv (Cornell University) · 2023
We apply the resonance method to Montgomery's convolution formula for $\textrm{Re}\left(e^{-iθ}\logζ(σ+it)\right)$ in the strip $1/2 < σ< 1$. This gives new insight into maximal values of $\textrm{Re}\left(e^{-iθ}\logζ(σ+it)\right)$ for $t \in [T^β,T]$ for all $β\in (0,1)$ and real $θ$.