English

Extreme values of the Riemann zeta function at its critical points in the critical strip

Number Theory 2021-10-28 v1

Abstract

We estimate large and small values of ζ(ρ)|\zeta(\rho')|, where ρ\rho' runs over critical points of the zeta function in the right half of the critical strip, that is, the points where ζ(ρ)=0\zeta'(\rho')=0 and 1/2<ρ<11/2<\Re \rho'<1.

Keywords

Cite

@article{arxiv.2110.14229,
  title  = {Extreme values of the Riemann zeta function at its critical points in the critical strip},
  author = {Shashank Chorge},
  journal= {arXiv preprint arXiv:2110.14229},
  year   = {2021}
}