English

A new improved explicit estimate for $\zeta\left( 1/2+it\right)$

Number Theory 2026-02-06 v1

Abstract

In this paper, we present an improved explicit subconvexity result for the Riemann zeta function ζ(s)\zeta\left( s\right) along the critical line s=1/2+its=1/2+it, given by Hiary, Patel and Yang in 2024. This new bound is derived by combining a refined, explicit version of the van der Corput method together with computational calculations.

Keywords

Cite

@article{arxiv.2602.05614,
  title  = {A new improved explicit estimate for $\zeta\left( 1/2+it\right)$},
  author = {Michael Revers},
  journal= {arXiv preprint arXiv:2602.05614},
  year   = {2026}
}

Comments

40 pages

R2 v1 2026-07-01T09:37:49.642Z