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Rakhmonov, Zarullo Khusenovich
Academician of Academy of Sciences of Tajikistan
Professor
Doctor of physico-mathematical sciences (1996)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail:
Website: https://www.mitas.tj
Keywords: exponential sums, almost equal summands, a singular series. Waring's problem, almost proportional Summands, H.~Weil's short exponential sum, small neighborhood of centers of major arcs.

https://www.mathnet.ru/eng/person18336
List of publications on Google Scholar
https://zbmath.org/authors/ai:rakhmonov.zarullo-khusenovich
https://elibrary.ru/author_items.asp?authorid=333244
https://orcid.org/0000-0002-6886-7247
https://www.webofscience.com/wos/author/record/HNJ-4992-2023
https://www.scopus.com/authid/detail.url?authorId=6506891420
https://arxiv.org/a/18336

Publications in Math-Net.Ru Citations
2024
1. Z. Kh. Rakhmonov, F. Z. Rahmonov, “Asymptotic formula in the Waring's problem with almost proportional summands”, Chebyshevskii Sb., 25:2 (2024),  139–168  mathnet 1
2023
2. Z. Kh. Rakhmonov, I. Allakov, B. Kh. Abrayev, “Generalization of Goldbach's ternary problem with almost equal terms”, Chebyshevskii Sb., 24:4 (2023),  264–298  mathnet
3. Z. Kh. Rakhmonov, “Generalization of Waring's problem for nine almost proportional cubes”, Chebyshevskii Sb., 24:3 (2023),  71–94  mathnet 1
2022
4. Z. Kh. Rakhmonov, “Distribution of products of shifted primes in arithmetic progressions with increasing difference”, Chebyshevskii Sb., 23:3 (2022),  156–168  mathnet
2021
5. Z. Kh. Rakhmonov, O. O. Nozirov, “On the mean values of the Chebyshev function and their applications”, Chebyshevskii Sb., 22:5 (2021),  198–222  mathnet 1
6. Z. Kh. Rakhmonov, “Estimates of short exponential sums with primes in major arcs”, Chebyshevskii Sb., 22:4 (2021),  200–224  mathnet 1
2019
7. Z. Kh. Rakhmonov, Sh. A. Khayrulloev, A. S. Aminov, “Zeros of the Davenport–Heilbronn function in short intervals of the critical line”, Chebyshevskii Sb., 20:4 (2019),  306–329  mathnet
8. Z. Kh. Rakhmonov, F. Z. Rahmonov, “Short cubic exponential sums with Möbius function”, Chebyshevskii Sb., 20:4 (2019),  281–305  mathnet 1
2017
9. Z. Kh. Rakhmonov, “Sums of values of nonprincipal characters over a sequence of shifted primes”, Trudy Mat. Inst. Steklova, 299 (2017),  234–260  mathnet  elib; Proc. Steklov Inst. Math., 299 (2017), 219–245  isi  scopus 1
10. Z. Kh. Rakhmonov, F. Z. Rahmonov, “Short cubic exponential sums over primes”, Trudy Mat. Inst. Steklova, 296 (2017),  220–242  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 296 (2017), 211–233  isi  scopus 6
2016
11. Z. Kh. Rakhmonov, F. Z. Rakhmonov, B. M. Zamonov, “Estimates of short cubic double exponential sums with a long continuous summation”, Chebyshevskii Sb., 17:1 (2016),  217–231  mathnet  elib 2
12. Z. Kh. Rakhmonov, Sh. Kh. Mirzorakhimov, “Sums of characters modulo a cubefree at shifted primes”, Chebyshevskii Sb., 17:1 (2016),  201–216  mathnet  elib 1
2015
13. Z. Kh. Rakhmonov, N. N. Nazrubloev, A. O. Rakhimov, “Short Weyl sums and their applications”, Chebyshevskii Sb., 16:1 (2015),  232–247  mathnet  elib 4
2014
14. Z. Kh. Rakhmonov, “Sums of characters over prime numbers”, Chebyshevskii Sb., 15:2 (2014),  73–100  mathnet 4
15. Z. Kh. Rakhmonov, “The Estermann Cubic Problem with Almost Equal Summands”, Mat. Zametki, 95:3 (2014),  445–456  mathnet  mathscinet  elib; Math. Notes, 95:3 (2014), 407–417  isi  scopus 7
2013
16. Z. Kh. Rakhmonov, “Distribution of values of Dirichlet characters in the sequence of shifted primes”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013),  113–117  mathnet  elib 5
2003
17. Z. Kh. Rakhmonov, “Estermann's Ternary Problem with Almost Equal Summands”, Mat. Zametki, 74:4 (2003),  564–572  mathnet  mathscinet  zmath; Math. Notes, 74:4 (2003), 534–542  isi  scopus 7
1996
18. Z. Kh. Rakhmonov, “The mean-value theorem in prime number theory”, Dokl. Akad. Nauk, 349:5 (1996),  606–607  mathnet  mathscinet  zmath 1
1994
19. Z. Kh. Rakhmonov, “A theorem on the mean value of Chebishev functions”, Izv. RAN. Ser. Mat., 58:3 (1994),  127–139  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 44:3 (1995), 555–569  isi 4
20. Z. Kh. Rakhmonov, “Estimate of the density of the zeros of the Riemann zeta function”, Uspekhi Mat. Nauk, 49:2(296) (1994),  161–162  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:2 (1994), 168–169  isi 6
21. Z. Kh. Rakhmonov, “On the distribution of values of Dirichlet characters and their applications”, Trudy Mat. Inst. Steklov., 207 (1994),  286–296  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 207 (1995), 263–272 8
1993
22. Z. Kh. Rakhmonov, “Mean values of the Chebyshev function”, Dokl. Akad. Nauk, 331:3 (1993),  281–282  mathnet  mathscinet  zmath; Dokl. Math., 48:1 (1994), 85–87 4
23. Z. Kh. Rakhmonov, “Theorem on the mean value of $\psi(x,\chi)$ and its applications”, Izv. RAN. Ser. Mat., 57:4 (1993),  55–71  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 43:1 (1994), 49–64  isi 12
1989
24. Z. Kh. Rakhmonov, “The distribution of Hardy–Littlewood numbers in arithmetic progressions”, Izv. Akad. Nauk SSSR Ser. Mat., 53:1 (1989),  211–224  mathnet  mathscinet  zmath; Math. USSR-Izv., 34:1 (1990), 213–228 6
1986
25. Z. Kh. Rakhmonov, “On the distribution of values of Dirichlet characters”, Uspekhi Mat. Nauk, 41:1(247) (1986),  201–202  mathnet  mathscinet  zmath; Russian Math. Surveys, 41:1 (1986), 237–238  isi 7

Presentations in Math-Net.Ru
1. О распределении произведений сдвинутых простых чисел в арифметических прогрессиях по составному модулю
Z. Kh. Rakhmonov
XXI International Conference «Algebra, Number Theory, Discrete Geometry and Multiscale Modeling: Modern Problems, Applications and Problems of History», Dedicated to the 85th Anniversaryof the Birth of A. A. Karatsuba
May 17, 2022 12:30   
2. Short exponential sums over primes
Z. Kh. Rakhmonov
А.A.Karatsuba's 80th Birthday Conference in Number Theory and Applications
May 23, 2017 16:55   
3. Sums of characters modulo a cubefree at shifted primes
Z. Kh. Rakhmonov
Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 28, 2016 11:05   
4. Short exponential sums of Weyl's type
Z. Kh. Rakhmonov, F. Z. Rahmonov
Conference in memory of A. A. Karatsuba on number theory and applications, 2015
January 30, 2015 11:05   
5. The distribution of the values of Dirichlet characters over the sequence of shifted primes
Z. Kh. Rakhmonov
Conference in memory of A. A. Karatsuba on number theory and applications
January 31, 2014 12:30   

Organisations