Turing's method for the Selberg zeta-function
Number Theory
2018-09-26 v3
Abstract
In one of his final research papers, Alan Turing introduced a method to certify the completeness of a purported list of zeros of the Riemann zeta-function. In this paper we consider Turing's method in the analogous setting of Selberg zeta-functions, and we demonstrate that it can be carried out rigorously in the prototypical case of the modular surface.
Keywords
Cite
@article{arxiv.1710.00603,
title = {Turing's method for the Selberg zeta-function},
author = {Andrew R. Booker and David J. Platt},
journal= {arXiv preprint arXiv:1710.00603},
year = {2018}
}
Comments
33 pages, to appear in Communications in Mathematical Physics