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
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{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.
@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},
publisher = {mathdoc},
number = {2},
year = {2009},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a16/ %G ru %F VMUMM_2009_2_a16
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/