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Pachev, Urusbi Mukhamedovich

Professor
Doctor of physico-mathematical sciences
E-mail: ,

https://www.mathnet.ru/eng/person19640
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/257462

Publications in Math-Net.Ru Citations
2025
1. U. M. Pachev, A. H. Kodzokov, M. M. Isakova, M. S. Nirova, “On the asymptotics of representations by a sum of a pair of integers by a sum and a linear form with a congruential condition of a special form”, Chebyshevskii Sb., 26:1 (2025),  62–75  mathnet
2. U. M. Pachev, A. A. Tokbaeva, “On applications of finite fields to the Euler function”, Vladikavkaz. Mat. Zh., 27:3 (2025),  120–126  mathnet
2024
3. U. M. Pachev, A. H. Kodzokov, A. G. Ezaova, A. A. Tokbaeva, Z. H. Guchaeva, “On one way to solve linear equations over a euclidean ring”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 46:1 (2024),  9–21  mathnet 1
2023
4. U. M. Pachev, R. A. Dokhov, A. H. Kodzokov, M. S. Nirova, “On Some arithmetic applications to the theory of symmetric groups”, Chebyshevskii Sb., 24:4 (2023),  252–263  mathnet
2022
5. U. M. Pachev, L. A. Khalilova, “On an Asymptotics of the Number of Representations of a Pair of Integers by Quadratic and Linear Form with Congruential Condition”, Mat. Zametki, 111:5 (2022),  726–737  mathnet  mathscinet; Math. Notes, 111:5 (2022), 736–746  scopus 2
2021
6. R. A. Dokhov, U. M. Pachev, “The number of primitive unassociated third-order matrices of a given determinant”, Chebyshevskii Sb., 22:5 (2021),  129–137  mathnet
2020
7. U. M. Pachev, M. M. Isakova, “On the Number of Cyclic Subgroups of Prime Order in the Group of Diagonal Matrices over a Circular Field”, Mat. Zametki, 107:3 (2020),  479–480  mathnet  mathscinet  elib; Math. Notes, 107:3 (2020), 534–535  isi  scopus
2019
8. U. M. Pachev, T. A. Shakova, “On units of a quaternion order of an indefinite anisotropic ternary quadratic form”, Chebyshevskii Sb., 20:4 (2019),  270–280  mathnet 1
9. U. M. Pachev, R. A. Dokhov, “Singular Functions in the Problem of the Weighted Number of Integer Points on Multidimensional Hyperboloids of Special Form”, Mat. Zametki, 105:2 (2019),  278–293  mathnet  mathscinet  elib; Math. Notes, 105:2 (2019), 265–279  isi  scopus 1
2018
10. U. M. Pachev, “On algebra and arithmetic of binomial and Gaussian coefficients”, Chebyshevskii Sb., 19:3 (2018),  257–269  mathnet  elib
11. U. M. Pachev, M. M. Isakova, “On cyclic subgroups of a full linear group of third degree over a field of zero characteristic”, Vladikavkaz. Mat. Zh., 20:2 (2018),  62–68  mathnet  elib 1
2016
12. U. M. Pachev, “Ergodic properties of flows for integral points on some hyperboloids in connection with the hypothesis for the Dirichlet $L$–function”, Chebyshevskii Sb., 17:1 (2016),  171–186  mathnet  elib
13. U. M. Pachev, R. A. Dokhov, “On the Number of Integer Points Whose First Coordinates Satisfy a Divisibility Condition on Hyperboloids of a Special Form”, Mat. Zametki, 100:6 (2016),  881–886  mathnet  mathscinet  elib; Math. Notes, 100:6 (2016), 847–851  isi  scopus 1
2015
14. R. A. Dokhov, U. M. Pachev, “On the weighted number of integer points on some multidimensional hyperboloids”, Chebyshevskii Sb., 16:3 (2015),  219–245  mathnet  elib 2
15. U. M. Pachev, “About the number of primitive non-associated second order matrices of determinant $n$ divisible by a given matrix”, Vladikavkaz. Mat. Zh., 17:2 (2015),  62–67  mathnet 2
2013
16. U. M. Pachev, “On the distribution of reduced indefinite binary quadratic forms with the condition of first coefficients divisibility in residue classes”, Chebyshevskii Sb., 14:2 (2013),  139–150  mathnet
2011
17. M. Z. Zhemuhova, U. M. Pachev, “Cyclic subgroups of second degree full linear group over a field of the zero characteristic”, Vladikavkaz. Mat. Zh., 13:3 (2011),  17–21  mathnet 2
2010
18. U. M. Pachev, “A survey of investigations of the discrete ergodic method in number theory”, Chebyshevskii Sb., 11:1 (2010),  217–233  mathnet  mathscinet 1
2008
19. U. M. Pachev, “On the arithmetic of the ring of $n$th-order integer matrices”, Vladikavkaz. Mat. Zh., 10:1 (2008),  75–78  mathnet  mathscinet 3
2007
20. U. M. Pachev, “On the asymptotics of the number of reduced integral quadratic forms with a condition of divisibility of the first coefficients”, Sibirsk. Mat. Zh., 48:2 (2007),  376–388  mathnet  mathscinet  zmath  elib; Siberian Math. J., 48:2 (2007), 300–310  isi  scopus 4
2006
21. U. M. Pachev, “Representation of integers by isotropic ternary quadratic forms”, Izv. RAN. Ser. Mat., 70:3 (2006),  167–184  mathnet  mathscinet  zmath  elib; Izv. Math., 70:3 (2006), 587–604  isi  elib  scopus 8
2005
22. U. M. Pachev, “Asymptotic distribution of classes of positive binary quadratic forms with conditions of the divisibility of coefficients”, Fundam. Prikl. Mat., 11:6 (2005),  123–130  mathnet  mathscinet  zmath; J. Math. Sci., 146:2 (2007), 5717–5722  scopus
2001
23. U. M. Pachev, V. N. Shokuev, “Cyclic subgroups of the group $GL_2 (F)$”, News of the Kabardin-Balkar scientific center of RAS, 2001, no. 2,  72–74  mathnet
24. U. M. Pachev, V. N. Shokuev, “On the application of the theory of congruences to the study of subgroups in symmetric groups”, News of the Kabardin-Balkar scientific center of RAS, 2001, no. 1,  68–69  mathnet 1
1997
25. U. M. Pachev, “Ergodic properties of flows for classes of positive binary quadratic forms in Gauss genera”, Zap. Nauchn. Sem. POMI, 236 (1997),  149–161  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 95:2 (1999), 2136–2143 1
1994
26. U. M. Pachev, “On the number of classes of Gaussian genus whose arithmetic minimum is divisible by the square of a given odd number”, Mat. Zametki, 55:2 (1994),  118–127  mathnet  mathscinet  zmath; Math. Notes, 55:2 (1994), 185–192  isi 6
1980
27. U. M. Pachev, “On the distribution of integer points on some parted hyperboloid”, Zap. Nauchn. Sem. LOMI, 93 (1980),  87–141  mathnet  mathscinet  zmath; J. Soviet Math., 19:2 (1982), 1122–1155 9
28. A. V. Malyshev, U. M. Pachev, “On the arithmetic of matrices of second order”, Zap. Nauchn. Sem. LOMI, 93 (1980),  41–86  mathnet  mathscinet  zmath; J. Soviet Math., 19:2 (1982), 1096–1122 14
1979
29. A. V. Malyshev, U. M. Pachev, “Representation of integers by positive ternary quadratic forms (a new modification of the discrete ergodic method)”, Zap. Nauchn. Sem. LOMI, 82 (1979),  33–87  mathnet  mathscinet  zmath; J. Soviet Math., 18:6 (1982), 866–912 6
1977
30. K. I. Grishmanovskaya, A. V. Malyshev, U. M. Pachev, A. M. Fidarova, “Proof of Minkowski's conjecture concerning the critical determinant of the region $|x|^p+|y|^p<1$ for $5<p<6$”, Zap. Nauchn. Sem. LOMI, 67 (1977),  95–107  mathnet  mathscinet  zmath; J. Soviet Math., 16:1 (1981), 827–836 3

2025
31. A. K. Gutnova, N. A. Dzhusoeva, A. Kh. Zhurtov, A. S. Kondrat'ev, R. Ch. Kulaev, A. G. Kusraev, V. D. Mazurov, A. A. Makhnev, Ya. N. Nuzhin, U. M. Pachev, V. T. Khudalov, M. Z. Khudalov, “V. A. Koibaev (on his 70th anniversary)”, Vladikavkaz. Mat. Zh., 27:3 (2025),  136–138  mathnet
2022
32. N. M. Dobrovol'skii, N. N. Dobrovol'skii, U. M. Pachev, I. Yu. Rebrova, V. N. Chubarikov, “To the memory of Boris Mikhailovich Shirokov”, Chebyshevskii Sb., 23:2 (2022),  235–236  mathnet
2020
33. S. V. Vostokov, Yu. V. Matiyasevich, Yu. V. Nesterenko, V. N. Chubarikov, V. I. Bernik, A. Laurinčikas, V. G. Zhuravlev, V. G. Chirskii, N. M. Dobrovol'skii, U. M. Pachev, F. V. Podsypanin, I. Yu. Rebrova, B. M. Shirokov, N. N. Dobrovol'skii, “Evgeny Vladimirovich Podsypanin”, Chebyshevskii Sb., 21:4 (2020),  425–426  mathnet
34. N. M. Dobrovolsky, U. M. Pachev, V. N. Chubarikov, “Boris Maximovich Bredikhin and his scientific and pedagogical activity”, Chebyshevskii Sb., 21:4 (2020),  19–28  mathnet 1
2019
35. U. M. Pachev, E. V. Podsypanin, “Alexander Vasilievich Malyshev and his research in number theory”, Chebyshevskii Sb., 20:3 (2019),  27–42  mathnet
2015
36. N. A. Vavilov, A. Kh. Zhurtov, A. S. Kondrat'ev, A. G. Kusraev, V. M. Levchuk, V. D. Mazurov, A. A. Makhnev, Ya. N. Nuzhin, U. M. Pachev, B. I. Plotkin, N. S. Romanovskii, “Koibaev Vladimir Amurkhanovich (on his 60th birthday)”, Vladikavkaz. Mat. Zh., 17:2 (2015),  68–70  mathnet

Presentations in Math-Net.Ru
1. О диофантовых системах с квадратичной и линейной формами, удовлетворяющих конгруэнциальному условию
U. M. Pachev

November 8, 2022 17:10   
2. On the application of discrete ergodic method in analytic theory of diophantine equations
U. M. Pachev
Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 29, 2016 16:00   

Organisations