Small values of the Riemann zeta function on the critical line

Justas Kalpokas; Paulius Šarka

Acta Arithmetica (2015)

  • Volume: 169, Issue: 3, page 201-220
  • ISSN: 0065-1036

Abstract

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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.

How to cite

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Justas Kalpokas, and Paulius Šarka. "Small values of the Riemann zeta function on the critical line." Acta Arithmetica 169.3 (2015): 201-220. <http://eudml.org/doc/279761>.

@article{JustasKalpokas2015,
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.},
author = {Justas Kalpokas, Paulius Šarka},
journal = {Acta Arithmetica},
keywords = {Riemann zeta function; critical line; value distribution},
language = {eng},
number = {3},
pages = {201-220},
title = {Small values of the Riemann zeta function on the critical line},
url = {http://eudml.org/doc/279761},
volume = {169},
year = {2015},
}

TY - JOUR
AU - Justas Kalpokas
AU - Paulius Šarka
TI - Small values of the Riemann zeta function on the critical line
JO - Acta Arithmetica
PY - 2015
VL - 169
IS - 3
SP - 201
EP - 220
AB - 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.
LA - eng
KW - Riemann zeta function; critical line; value distribution
UR - http://eudml.org/doc/279761
ER -

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