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 language | English |
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Pages (from-to) | 295-328 |
Number of pages | 34 |
Journal | Communications in Mathematical Physics |
Volume | 365 |
Issue number | 1 |
Early online date | 6 Sept 2018 |
DOIs | |
Publication status | Published - 24 Jan 2019 |
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HPC (High Performance Computing) and HTC (High Throughput Computing) Facilities
Alam, S. R. (Manager), Williams, D. A. G. (Manager), Eccleston, P. E. (Manager) & Greene, D. (Manager)
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