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Publications in Math-Net.Ru |
Citations |
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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 |
| 2. |
U. M. Pachev, A. A. Tokbaeva, “On applications of finite fields to the Euler function”, Vladikavkaz. Mat. Zh., 27:3 (2025), 120–126 |
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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 |
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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 |
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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 ; Math. Notes, 111:5 (2022), 736–746 |
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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 |
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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 ; Math. Notes, 107:3 (2020), 534–535 |
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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 |
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| 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 ; Math. Notes, 105:2 (2019), 265–279 |
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2018 |
| 10. |
U. M. Pachev, “On algebra and arithmetic of binomial and Gaussian coefficients”, Chebyshevskii Sb., 19:3 (2018), 257–269 |
| 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 |
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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 |
| 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 ; Math. Notes, 100:6 (2016), 847–851 |
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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 |
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| 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 |
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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 |
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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 |
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2010 |
| 18. |
U. M. Pachev, “A survey of investigations of the discrete ergodic method in number theory”, Chebyshevskii Sb., 11:1 (2010), 217–233 |
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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 |
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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 ; Siberian Math. J., 48:2 (2007), 300–310 |
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2006 |
| 21. |
U. M. Pachev, “Representation of integers by isotropic ternary quadratic forms”, Izv. RAN. Ser. Mat., 70:3 (2006), 167–184 ; Izv. Math., 70:3 (2006), 587–604 |
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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 ; J. Math. Sci., 146:2 (2007), 5717–5722 |
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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 |
| 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 |
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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 ; J. Math. Sci. (New York), 95:2 (1999), 2136–2143 |
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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 ; Math. Notes, 55:2 (1994), 185–192 |
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1980 |
| 27. |
U. M. Pachev, “On the distribution of integer points on some parted hyperboloid”, Zap. Nauchn. Sem. LOMI, 93 (1980), 87–141 ; J. Soviet Math., 19:2 (1982), 1122–1155 |
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| 28. |
A. V. Malyshev, U. M. Pachev, “On the arithmetic of matrices of second order”, Zap. Nauchn. Sem. LOMI, 93 (1980), 41–86 ; J. Soviet Math., 19:2 (1982), 1096–1122 |
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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 ; J. Soviet Math., 18:6 (1982), 866–912 |
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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 ; J. Soviet Math., 16:1 (1981), 827–836 |
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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 |
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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 |
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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 |
| 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 |
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2019 |
| 35. |
U. M. Pachev, E. V. Podsypanin, “Alexander Vasilievich Malyshev and his research in number theory”, Chebyshevskii Sb., 20:3 (2019), 27–42 |
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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 |
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