Note on a paper by H. L. Montgomery (Omega theorems for the Riemann zeta- function).
Ramachandra, K., Sankaranarayanan, A. (1991)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Ramachandra, K., Sankaranarayanan, A. (1991)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Norman Levinson (1972)
Acta Arithmetica
Similarity:
A. Laurinčikas (1990)
Acta Arithmetica
Similarity:
Daniel Bump, Eugene K.-S. Ng (1986)
Mathematische Zeitschrift
Similarity:
Aleksandar Ivić (1989)
Publications de l'Institut Mathématique
Similarity:
S.M. Gonek (1984)
Inventiones mathematicae
Similarity:
Aleksandar Ivić (1995)
Publications de l'Institut Mathématique
Similarity:
Laurinčikas, Antanas, Steuding, Jörn (2004)
Publications de l'Institut Mathématique. Nouvelle Série
Similarity:
Almkvist, Gert, Granville, Andrew (1999)
Experimental Mathematics
Similarity:
Maxim A. Korolev (2014)
Acta Arithmetica
Similarity:
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.