Geodesic
On some problems in the theory of functions
Vladikavkazskij matematičeskij žurnal, Tome 19 (2017) no. 2, pp. 73-77

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper devoted the memory of the outstanding Russian mathematician A. F. Leont'ev (1917–1987) consists of three sections. In § 1 the author sets one probably new hypothesis concerning the well known Riemann's Zeta Function $\zeta(z)$ and proves with the helps of this hypothesis that all zeros of $\zeta(z)$ are simple and lie only on the real axis and on the line $\Re z=1/2$. In § 2 the formulation of one theorem on convex functions from the first part of the monography of Hayman W. K. and Kennedy P. B. a bit is slightly corrected. In the last section the author express his gratitude to some mathematicians (especially to A. F. Leont'ev) who supported him throughout his comparatively long scientific career. 
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     author = {Yu. F. Korobeǐnik},
     title = {On some problems in the theory of functions},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
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Yu. F. Korobeǐnik. On some problems in the theory of functions. Vladikavkazskij matematičeskij žurnal, Tome 19 (2017) no. 2, pp. 73-77. http://geodesic.mathdoc.fr/item/VMJ_2017_19_2_a7/