Isolating some non-trivial zeros of Zeta

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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.
Original languageEnglish
Pages (from-to)2449-2467
Number of pages19
JournalMathematics of Computation
Volume86
Issue number307
Early online date13 Feb 2017
DOIs
Publication statusPublished - 6 May 2017

Keywords

  • Primary 11Y35
  • 11M26

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