English

A modest improvement on the function $S(T)$

Number Theory 2013-10-10 v1

Abstract

This paper contains a small improvement to the explicit bounds on the growth of the function S(T)S(T). It is shown how more substantial improvements are possible if one has better explicit bounds on the growth of ζ(12+it)|\zeta(\frac{1}{2}+it)|.

Keywords

Cite

@article{arxiv.1010.4596,
  title  = {A modest improvement on the function $S(T)$},
  author = {Timothy Trudgian},
  journal= {arXiv preprint arXiv:1010.4596},
  year   = {2013}
}

Comments

10 pages

R2 v1 2026-06-21T16:32:32.447Z