English

Improvements to Turing's Method

Number Theory 2013-10-10 v3

Abstract

This paper refines the argument of Lehman by reducing the size of the constants in Turing's method. This improvement is given in Theorem 1 and scope for further improvements is also given. Analogous improvements to Dirichlet L-functions and Dedekind zeta-functions are also included.

Keywords

Cite

@article{arxiv.0903.1885,
  title  = {Improvements to Turing's Method},
  author = {Timothy Trudgian},
  journal= {arXiv preprint arXiv:0903.1885},
  year   = {2013}
}

Comments

21 pages, third edition: expanded to include sections on Dirichlet L-functions and Dedekind zeta-functions

R2 v1 2026-06-21T12:20:32.633Z