Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 76-77
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I. F. Avdeev; L. G. Arkhipova. A new estimate of the Montgomery constant in the theory of zeros distribution of the Riemann zeta-function in the critical stripe. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 76-77. http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a16/
@article{VMUMM_2009_2_a16,
author = {I. F. Avdeev and L. G. Arkhipova},
title = {A new estimate of the {Montgomery} constant in the theory of zeros distribution of the {Riemann} zeta-function in the critical stripe},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {76--77},
year = {2009},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a16/}
}
TY - JOUR
AU - I. F. Avdeev
AU - L. G. Arkhipova
TI - A new estimate of the Montgomery constant in the theory of zeros distribution of the Riemann zeta-function in the critical stripe
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2009
SP - 76
EP - 77
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a16/
LA - ru
ID - VMUMM_2009_2_a16
ER -
%0 Journal Article
%A I. F. Avdeev
%A L. G. Arkhipova
%T A new estimate of the Montgomery constant in the theory of zeros distribution of the Riemann zeta-function in the critical stripe
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2009
%P 76-77
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a16/
%G ru
%F VMUMM_2009_2_a16
{The new value $\alpha=\frac{91}{116}$ is obtained for the constant $\alpha$ such that for all $\sigma\ge\alpha$ the “density hypothesis” is valid for the Riemann zeta-function in the critical stripe. The previous value $\alpha=\frac{11}{14}$ was obtained by M. Jutila in 1977.
