Pachev Urusbi Mukhamedovich

Publications in Math-Net.Ru

1. Discrete ergodic method of academician Yu. V. Linnik
   
   Chebyshevskii Sb., 26:3 (2025),  385–405
2. 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
3. On applications of finite fields to the Euler function
   
   Vladikavkaz. Mat. Zh., 27:3 (2025),  120–126
4. On one way to solve linear equations over a euclidean ring
   
   Vestnik KRAUNC. Fiz.-Mat. Nauki, 46:1 (2024),  9–21
5. On Some arithmetic applications to the theory of symmetric groups
   
   Chebyshevskii Sb., 24:4 (2023),  252–263
6. 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
7. The number of primitive unassociated third-order matrices of a given determinant
   
   Chebyshevskii Sb., 22:5 (2021),  129–137
8. 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
9. On units of a quaternion order of an indefinite anisotropic ternary quadratic form
   
   Chebyshevskii Sb., 20:4 (2019),  270–280
10. 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
11. On algebra and arithmetic of binomial and Gaussian coefficients
    
    Chebyshevskii Sb., 19:3 (2018),  257–269
12. 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
13. 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
14. 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
15. On the weighted number of integer points on some multidimensional hyperboloids
    
    Chebyshevskii Sb., 16:3 (2015),  219–245
16. 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
17. 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
18. Cyclic subgroups of second degree full linear group over a field of the zero characteristic
    
    Vladikavkaz. Mat. Zh., 13:3 (2011),  17–21
19. A survey of investigations of the discrete ergodic method in number theory
    
    Chebyshevskii Sb., 11:1 (2010),  217–233
20. On the arithmetic of the ring of $n$th-order integer matrices
    
    Vladikavkaz. Mat. Zh., 10:1 (2008),  75–78
21. 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
22. Representation of integers by isotropic ternary quadratic forms
    
    Izv. RAN. Ser. Mat., 70:3 (2006),  167–184
23. Asymptotic distribution of classes of positive binary quadratic forms with conditions of the divisibility of coefficients
    
    Fundam. Prikl. Mat., 11:6 (2005),  123–130
24. Cyclic subgroups of the group $GL_2 (F)$
    
    News of the Kabardin-Balkar scientific center of RAS, 2001, no. 2,  72–74
25. 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
26. Ergodic properties of flows for classes of positive binary quadratic forms in Gauss genera
    
    Zap. Nauchn. Sem. POMI, 236 (1997),  149–161
27. 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
28. On the distribution of integer points on some parted hyperboloid
    
    Zap. Nauchn. Sem. LOMI, 93 (1980),  87–141
29. On the arithmetic of matrices of second order
    
    Zap. Nauchn. Sem. LOMI, 93 (1980),  41–86
30. Representation of integers by positive ternary quadratic forms (a new modification of the discrete ergodic method)
    
    Zap. Nauchn. Sem. LOMI, 82 (1979),  33–87
31. 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


32. Andrey Mikhailovich Zubkov (30.12.1946 — 06.08.2025)
    
    Chebyshevskii Sb., 26:3 (2025),  419–421
33. Sergey Vladimirovich Vostokov (13.04.1945 — 6.03.2025)
    
    Chebyshevskii Sb., 26:3 (2025),  416–418
34. V. A. Koibaev (on his 70th anniversary)
    
    Vladikavkaz. Mat. Zh., 27:3 (2025),  136–138
35. To the memory of Boris Mikhailovich Shirokov
    
    Chebyshevskii Sb., 23:2 (2022),  235–236
36. Evgeny Vladimirovich Podsypanin
    
    Chebyshevskii Sb., 21:4 (2020),  425–426
37. Boris Maximovich Bredikhin and his scientific and pedagogical activity
    
    Chebyshevskii Sb., 21:4 (2020),  19–28
38. Alexander Vasilievich Malyshev and his research in number theory
    
    Chebyshevskii Sb., 20:3 (2019),  27–42
39. Koibaev Vladimir Amurkhanovich (on his 60th birthday)
    
    Vladikavkaz. Mat. Zh., 17:2 (2015),  68–70