Small values of the Riemann zeta function on the critical line
Acta Arithmetica, Tome 169 (2015) no. 3, pp. 201-220
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
investigate real values riemann zeta function critical line grams points intersect ordinates nontrivial zeros riemann zeta function riemann zeta function takes arbitrarily small real values critical line
Affiliations des auteurs :
Justas Kalpokas 1 ; Paulius Šarka 2
@article{10_4064_aa169_3_1,
author = {Justas Kalpokas and Paulius \v{S}arka},
title = {Small values of the {Riemann} zeta function on the critical line},
journal = {Acta Arithmetica},
pages = {201--220},
publisher = {mathdoc},
volume = {169},
number = {3},
year = {2015},
doi = {10.4064/aa169-3-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa169-3-1/}
}
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 SP - 201 EP - 220 VL - 169 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/aa169-3-1/ DO - 10.4064/aa169-3-1 LA - en ID - 10_4064_aa169_3_1 ER -
Justas Kalpokas; Paulius Šarka. Small values of the Riemann zeta function on the critical line. Acta Arithmetica, Tome 169 (2015) no. 3, pp. 201-220. doi: 10.4064/aa169-3-1
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