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arXiv · 1710.00603

Turing's method for the Selberg zeta-function

Andrew R. Booker·David J. Platt
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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.

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Andrew R. Booker, David J. Platt. 2018-07-21. Turing's method for the Selberg zeta-function. https://doi.org/10.1007/s00220-018-3243-4

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