Computing Extremely Large Values of the Riemann Zeta Function

Norbert Tihanyi, Attila Kovács, József Kovács

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)527-534
Number of pages8
JournalJournal of Grid Computing
Volume15
Issue number4
DOIs
Publication statusPublished - Dec 1 2017

Keywords

  • Distributed computing
  • Large Z(t) values
  • Riemann zeta function

ASJC Scopus subject areas

  • Software
  • Information Systems
  • Hardware and Architecture
  • Computer Networks and Communications

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