Improvements to Turing's Method II

Tim Trudgian

Improvements to Turing's Method II

Number Theory 2014-10-20 v2

Authors: Tim Trudgian

Abstract

Turing's method uses explicit bounds on $|\int_{t_{1}}^{t_{2}} S(t)\, dt|$ , where $\pi S(t)$ is the argument of the Riemann zeta-function. This article improves the bound on $|\int_{t_{1}}^{t_{2}} S(t)\, dt|$ given in an earlier paper by the author.

Keywords

riemann zeta function zeta functions

Cite

@article{arxiv.1406.3416,
  title  = {Improvements to Turing's Method II},
  author = {Tim Trudgian},
  journal= {arXiv preprint arXiv:1406.3416},
  year   = {2014}
}

Comments

7 pages; to appear in Rocky Mountain J. Math; references updated

Related papers

View all related →