About the life and activities of academician Zarullo Husenovich Rakhmonov
https://doi.org/10.22405/2226-8383-2019-20-4-6-31
Abstract
The article is devoted to the doctor of physico-mathematical Sciences, academician of the
Academy of Sciences of the Republic of Tajikistan, one of the foremost experts in the field
of number theory, Zarullo Husenovich Rakhmonov in connection with his 60–year anniversary.
Provides a brief biography, the main stages of development of his scientific career. We give
the review of results of Z. H. Rakhmonov on following problems: on the distribution of the
Goldbach’s and Hardy–Littlewood’s numbers in short arithmetical progressions, on the problem
of mean values of the Chebyshev’s function and the problem of the Riemann zeta-function zeros
belonging to short rectangular in the critical strip, to estimations short trigonometric sums over
primes and on the Goldbach’s problem with almost equals summands, on the Selberg’s problem
concerning to the Riemann’s zeta-function zeros lying on short intevals of the critical line. In
conclusion, the author presents a list of main scientific publications Z. H. Rakhmonov
About the Author
Vladimir Nikolaevich Chubarikov
M. V. Lomonosov Moscow State University
Russian Federation
doctor of physical and mathematical sciences, professor, head of the Department of mathematical and computer methods of analysis, president of the mechanics and mathematics faculty
Russian Federation
doctor of physical and mathematical sciences, professor, head of the Department of mathematical and computer methods of analysis, president of the mechanics and mathematics faculty
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59. Rakhmonov, Z. Kh., & Rakhmonov, F. Z., 2016, “Estimation of short cubic exponential sums with prime numbers in minor arcs”, Doklady Akademii nauk Respubliki Tajikistan, vol. 59, no 7-8, pp. 273-277, (in Russian).
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78. Rakhmonov, Z. Kh., & Azamov A.Z., 2011, “An asymptotic formula in Waring’s problem for fourth powers with almost equal summands”, Doklady Akademii nauk Respubliki Tajikistan, vol. 54, no 3, pp. 34-42, (in Russian).
79. Rakhmonov, Z. Kh., & Nazrubloev, N. N., 2014, “Waring’s problem for fifth powers with almost equal summands”, Doklady Akademii nauk Respubliki Tajikistan, vol. 57, no 11-12, pp. 823-830, (in Russian).
80. Rakhmonov, Z. Kh., & Ozodbekova, N. B., Shokamolova, J. A., 2013, “On the uniform distribution modulo a unit of the values of quadratic polynomial whose argument takes its values from the short interval”, Doklady Akademii nauk Respubliki Tajikistan, vol. 56, no 4, pp. 261-264, (in Russian).
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89. Rakhmonov, Z. Kh. & Khayrulloev, Sh. A., 2006, “Distance between the next zeros of Riemann’s zeta-function in the critical line”, Doklady Akademii nauk Respubliki Tajikistan, vol. 49, no. 5, pp. 393 – 400.
90. Rakhmonov, Z. Kh. & Khayrulloev, Sh. A. 2009, “The neibour zero of the Riemann’s zeta-function laying on a critical line”, Doklady Akademii nauk Respubliki Tajikistan, vol. 52, no. 5, pp. 331 – 337.
91. Rakhmonov, Z. Kh. & Aminov, A. S., 2019, “On the zeros of an odd order of the Davenport – Heilbron function in short intervals of the critical line”, Doklady Akademii nauk Respubliki Tajikistan, vol. 62, no. 3-4, pp. 133-138.
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Chubarikov V.N. About the life and activities of academician Zarullo Husenovich Rakhmonov. Chebyshevskii Sbornik. 2019;20(4):6-31. (In Russ.) https://doi.org/10.22405/2226-8383-2019-20-4-6-31
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