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Turing’s Method for the Selberg Zeta-Function

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Turing’s Method for the Selberg Zeta-Function. / Booker, Andrew; Platt, David J.

In: Communications in Mathematical Physics, Vol. 365, No. 1, 24.01.2019, p. 295-328.

Research output: Contribution to journalArticle

Harvard

Booker, A & Platt, DJ 2019, 'Turing’s Method for the Selberg Zeta-Function', Communications in Mathematical Physics, vol. 365, no. 1, pp. 295-328. https://doi.org/10.1007/s00220-018-3243-4

APA

Vancouver

Booker A, Platt DJ. Turing’s Method for the Selberg Zeta-Function. Communications in Mathematical Physics. 2019 Jan 24;365(1):295-328. https://doi.org/10.1007/s00220-018-3243-4

Author

Booker, Andrew ; Platt, David J. / Turing’s Method for the Selberg Zeta-Function. In: Communications in Mathematical Physics. 2019 ; Vol. 365, No. 1. pp. 295-328.

Bibtex

@article{85b2198e088a4acf82d4809551cab628,
title = "Turing’s Method for the Selberg Zeta-Function",
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.",
author = "Andrew Booker and Platt, {David J}",
year = "2019",
month = "1",
day = "24",
doi = "10.1007/s00220-018-3243-4",
language = "English",
volume = "365",
pages = "295--328",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer Berlin Heidelberg",
number = "1",

}

RIS - suitable for import to EndNote

TY - JOUR

T1 - Turing’s Method for the Selberg Zeta-Function

AU - Booker, Andrew

AU - Platt, David J

PY - 2019/1/24

Y1 - 2019/1/24

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85053457156&partnerID=8YFLogxK

U2 - 10.1007/s00220-018-3243-4

DO - 10.1007/s00220-018-3243-4

M3 - Article

VL - 365

SP - 295

EP - 328

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 1

ER -