2015Acta ArithmeticaOpen access

Small values of the Riemann zeta function on the critical line

Justas Kalpokas, Paulius Šarka

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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 rea

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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 rea

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Available 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 rea

Key concepts: Riemann zeta function, Mathematics, Critical line, Particular values of Riemann zeta function, Riemann Xi function, Riemann hypothesis, Arithmetic zeta function, Prime zeta function

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