Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2010), pp. 51-53
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R. N. Boyarinov. Sign change of the function $S(t)$ on short intervals. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2010), pp. 51-53. http://geodesic.mathdoc.fr/item/VMUMM_2010_3_a12/
@article{VMUMM_2010_3_a12,
author = {R. N. Boyarinov},
title = {Sign change of the function $S(t)$ on short intervals},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {51--53},
year = {2010},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_3_a12/}
}
TY - JOUR
AU - R. N. Boyarinov
TI - Sign change of the function $S(t)$ on short intervals
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2010
SP - 51
EP - 53
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_2010_3_a12/
LA - ru
ID - VMUMM_2010_3_a12
ER -
%0 Journal Article
%A R. N. Boyarinov
%T Sign change of the function $S(t)$ on short intervals
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2010
%P 51-53
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_2010_3_a12/
%G ru
%F VMUMM_2010_3_a12
A theorem for the sign change of the argument of the Riemann zeta function $S(t)$ in the interval $(t-A,t+A)$ with $A=4,39\ln\ln\ln\ln T$ for each $t,$$T\le t\le T+H$, excluding values from the set $E$ with measure ${\rm mes}(E) =O\left(H(\ln\ln T)^{-1}(\ln\ln\ln T)^{-0,5}\right)$ is proved.
