8 citations · 15 across the 3 of their papers we have counts for
4 papers
On the large values of the Riemann zeta-function on the critical line - II
M. A. Korolev
We prove some new bounds for the maximum of Riemann zeta-function on very short segments of the critical line. All the theorems are based on the Riemann hypothesis.
On the large values of the Riemann zeta-function on short segments of the critical line
M. A. Korolev
In this paper, we obtain a series of new conditional lower bounds for the modulus and the argument of the Riemann zeta function on very short segments of the critical line, based o…
Upper and lower bounds for the function S(t) on the short intervals
Maxim A. Korolev
We prove under RH the existence of a very large positive and negative values of the argument of the Riemann zeta function on a very short intervals.
Negative values of the Riemann zeta function on the critical line
Justas Kalpokas, Maxim A. Korolev, Jörn Steuding
We investigate the intersections of the curve with the real axis. We show unconditionally that the zeta-function takes arbitrarily large p…