Geodesic
On some problems in the theory of the Riemann's zeta-function
Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 88-93 Cet article a éte moissonné depuis la source Math-Net.Ru

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We determine the principal value of some integrals related to Riemann's zeta-function. We propose a probably new hypothesis which implies the famous Riemann's hypothesis on the absence of zeroes of zeta-function in the half-plane $\Re z>1/2$, as well as some other facts in the theory of zeta-function.
Keywords: Riemann's zeta-function, theory of residues. 
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Yu. F. Korobeinik. On some problems in the theory of the Riemann's zeta-function. Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 88-93. http://geodesic.mathdoc.fr/item/UFA_2015_7_4_a7/

[1] Titchmarsh E. K., Teoriya dzeta-funktsii Rimana, IL, M., 1953, 406 pp.

[2] H. M. Edwards, Riemann's zeta function, Dover Publications, Inc., Mineola, New York, 1974, 315 pp. | MR