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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010 Number 6, Pages 55–58 (Mi vmumm832)

This article is cited in 3 papers

Short notes

Distribution of large values of the argument of the Riemann zeta function on short intervals

R. N. Boyarinov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: An upper bound for the measure of the set of values $t\in(T,T+H\,]$ for $H=T^{27/82+\varepsilon}$, for which $|S (t)|\ge\lambda$ is obtained.

Key words: argument of the Riemann zeta-function, measure of set.

UDC: 511

Received: 31.05.2010



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