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Isolating some non-trivial zeros of Zeta

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)2449-2467
Number of pages19
JournalMathematics of Computation
Volume86
Issue number307
Early online date13 Feb 2017
DOIs
DateAccepted/In press - 12 Jul 2016
DateE-pub ahead of print - 13 Feb 2017
DatePublished (current) - 6 May 2017

Abstract

We describe a rigorous algorithm to compute Riemann's zeta function on the half line and its use to isolate the non-trivial zeros of zeta with imaginary part ≤ 30,610,046,000 to an absolute precision of ±2-102. In the process, we provide an independent veri cation of the Riemann Hypothesis to this height.

    Research areas

  • Primary 11Y35, 11M26

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  • Full-text PDF (accepted author manuscript)

    Rights statement: This is the author accepted manuscript (AAM). The final published version (version of record) is available online via American Mathematical Society at http://www.ams.org/journals/mcom/0000-000-00/S0025-5718-2017-03198-7/home.html#Additional . Please refer to any applicable terms of use of the publisher.

    Accepted author manuscript, 365 KB, PDF document

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