A new estimate of the Montgomery constant in the theory of zeros distribution of the Riemannian zeta-function in the critical stripe / I. F. Avdeev, L. G. Arkhipova. //Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2009. № 2. P. 76-77 [Moscow Univ. Math. Bulletin. Vol. 64, N 2, 2009. P. 91].

The new value \alpha=\frac{91}{116} is obtained for the constant \alpha such that for all \sigma\geq \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.

Key words: Riemann zeta-function, critical stripe, density hypothesis.

№ 2/2009