• Corpus ID: 230770115

# Extreme values of the argument of the Riemann zeta function

@inproceedings{Dobner2021ExtremeVO,
title={Extreme values of the argument of the Riemann zeta function},
author={Alexander Dobner},
year={2021}
}
Let S(t) = 1 π Im log ζ ( 1 2 + it ) . Using Soundararajan’s resonance method we prove an unconditional lower bound on the size of the tails of the distribution of S(t). In particular we reproduce the best unconditional Ω result for S(t) which is due to Tsang, S(t) = Ω± (

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