On the Mean Square Formula for the Riemann Zeta-Function on the Critical Line.
Yuk-Kam Lau (1994)
Monatshefte für Mathematik
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Yuk-Kam Lau (1994)
Monatshefte für Mathematik
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Aleksandar Ivic, K. Matsumoto (1996)
Monatshefte für Mathematik
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Ramachandra, K., Sankaranarayanan, A. (1991)
Publications de l'Institut Mathématique. Nouvelle Série
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Justas Kalpokas, Paulius Šarka (2015)
Acta Arithmetica
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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.
Maxim A. Korolev (2014)
Acta Arithmetica
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We obtain a series of new conditional lower bounds for the modulus and the argument of the Riemann zeta function on very short segments of the critical line, based on the Riemann hypothesis. In particular, we prove that for any large fixed constant A > 1 there exist(non-effective) constants T₀(A) > 0 and c₀(A) > 0 such that the maximum of |ζ (0.5+it)| on the interval (T-h,T+h) is greater than A for any T > T₀ and h = (1/π)lnlnln{T}+c₀.
Hugh L. Montgomery, John G. Thompson (2012)
Acta Arithmetica
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Yuk-Kam Lau (2002)
Acta Arithmetica
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Shaoji Feng (2005)
Acta Arithmetica
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Norman Levinson (1972)
Acta Arithmetica
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A. Laurinčikas (1990)
Acta Arithmetica
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A. Ivic, M. Jutila (1988)
Monatshefte für Mathematik
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Aleksandar Ivić (1995)
Publications de l'Institut Mathématique
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Almkvist, Gert, Granville, Andrew (1999)
Experimental Mathematics
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