Computing Extremely Large Values of the Riemann Zeta Function

The paper summarizes the computation results pursuing peak values of the Riemann zeta function. The computing method is based on the RS-Peak algorithm by which we are able to solve simultaneous Diophantine approximation problems efficiently. The computation environment was served by the SZTAKI Deskt...

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Bibliographic Details
Published inJournal of grid computing Vol. 15; no. 4; pp. 527 - 534
Main Authors Tihanyi, Norbert, Kovács, Attila, Kovács, József
Format Journal Article
LanguageEnglish
Published Dordrecht Springer Netherlands 01.12.2017
Subjects
Computer Science
Management of Computing and Information Systems
Processor Architectures
User Interfaces and Human Computer Interaction
Riemann zeta function
(
Distributed computing
Large
values
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Summary:The paper summarizes the computation results pursuing peak values of the Riemann zeta function. The computing method is based on the RS-Peak algorithm by which we are able to solve simultaneous Diophantine approximation problems efficiently. The computation environment was served by the SZTAKI Desktop Grid operated by the Laboratory of Parallel and Distributed Systems at the Hungarian Academy of Sciences and the ATLAS supercomputing cluster of the Eötvös Loránd University, Budapest. We present the largest Riemann zeta value known till the end of 2016.
ISSN:1570-7873
1572-9184
DOI:10.1007/s10723-017-9416-0