Extreme values for iterated integrals of the logarithm of the Riemann zeta-function
Volume 205 / 2022
Acta Arithmetica 205 (2022), 97-119
MSC: Primary 11M06; Secondary 60F10.
DOI: 10.4064/aa210916-10-9
Published online: 3 October 2022
Abstract
We give an approximate formula for the measure of extreme values of the logarithm of the Riemann zeta-function and its iterated integrals. The result recovers the unconditional best result for the minus part of the $\Omega $-result for $S_{1}(t)$ due to Tsang.
