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Publication - Dr Andrew Booker

    Turing’s Method for the Selberg Zeta-Function

    Citation

    Booker, A & Platt, DJ, 2019, ‘Turing’s Method for the Selberg Zeta-Function’. Communications in Mathematical Physics, vol 365., pp. 295-328

    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.

    Full details in the University publications repository