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Small values of the Riemann zeta function on the critical line

Volume 169 / 2015

Justas Kalpokas, Paulius Šarka Acta Arithmetica 169 (2015), 201-220 MSC: Primary 11M06. DOI: 10.4064/aa169-3-1

Abstract

We investigate real values of the Riemann zeta function on the critical line. We show that if Gram's points do not intersect with the ordinates of the nontrivial zeros of the Riemann zeta function then the Riemann zeta function takes arbitrarily small real values on the critical line.

Authors

  • Justas KalpokasFaculty of Mathematics and Informatics
    Vilnius University
    Naugarduko 24, 03225 Vilnius, Lithuania
    e-mail
  • Paulius ŠarkaInstitute of Mathematics and Informatics
    Vilnius University
    Akademijos 4, 08633 Vilnius, Lithuania
    e-mail

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