Turing’s Method for the Selberg Zeta-Function

Andrew Booker*, David J Platt

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

223 Downloads (Pure)

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.
Original languageEnglish
Pages (from-to)295-328
Number of pages34
JournalCommunications in Mathematical Physics
Volume365
Issue number1
Early online date6 Sep 2018
DOIs
Publication statusPublished - 24 Jan 2019

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