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Large values of the Riemann zeta-function on short intervals of the critical line. (English. Russian original) Zbl 1391.11097

Dokl. Math. 91, No. 1, 102-104 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 460, No. 6, 642-644 (2015).
From the text: The author of this paper obtains a conditional solution of Karatsuba’s problem and a series of new results concerning the behavior of the function \(S(t) = \pi^{-1} \arg \zeta (0.5 + it)\), the distribution of the zeros of the zeta-function, and Gram’s law in the theory of \(\zeta(s)\).

MSC:

11M06 \(\zeta (s)\) and \(L(s, \chi)\)
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References:

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