Geodesic
Small values of the Riemann zeta function on the critical line
Justas Kalpokas 1   ; Paulius Šarka 2
1 Faculty of Mathematics and Informatics Vilnius University Naugarduko 24, 03225 Vilnius, Lithuania
2 Institute of Mathematics and Informatics Vilnius University Akademijos 4, 08633 Vilnius, Lithuania
Acta Arithmetica, Tome 169 (2015) no. 3, pp. 201-220 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/aa169-3-1
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

Justas Kalpokas  1   ; Paulius Šarka  2

1 Faculty of Mathematics and Informatics Vilnius University Naugarduko 24, 03225 Vilnius, Lithuania
2 Institute of Mathematics and Informatics Vilnius University Akademijos 4, 08633 Vilnius, Lithuania 
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     title = {Small values of the {Riemann} zeta function on the critical line},
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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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