Skip to content

Turing's method for the Selberg zeta-function

Research output: Contribution to journalArticle

Original languageEnglish
Number of pages34
JournalCommunications in Mathematical Physics
Early online date6 Sep 2018
DateSubmitted - 2 Oct 2017
DateAccepted/In press - 20 Jul 2018
DateE-pub ahead of print (current) - 6 Sep 2018


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.

Download statistics

No data available



  • Full-text PDF (final published version)

    Rights statement: This is the final published version of the article (version of record). It first appeared online via Springer at . Please refer to any applicable terms of use of the publisher.

    Final published version, 697 KB, PDF-document

    Licence: CC BY


View research connections

Related faculties, schools or groups