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// 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
Fulltext:
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