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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
G. P. Egorychev, S. G. Kolesnikov, V. M. Leontiev, “Necessary and sufficient conditions for the regularity of the Sylow $p$-subgroups of the Chevalley groups over ${\Bbb Z}_p$ and ${\Bbb Z}_{p^2}$”, Sibirsk. Mat. Zh., 64:3 (2023), 500–520 |
2. |
G. P. Egorychev, V. M. Levchuk, G. S. Suleimanova, N. D. Hodyunya, “Enveloping algebras and ideals of the niltriangular subalgebra of the Chevalley algebra”, Sibirsk. Mat. Zh., 64:2 (2023), 292–311 ; Siberian Math. J., 64:2 (2023), 300–317 |
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2021 |
3. |
Georgy P. Egorychev, Sergey G. Kolesnikov, Vladimir M. Leontiev, “Integral representation and the computation of multiple combinatorial sums from Hall's commutator theory”, J. Sib. Fed. Univ. Math. Phys., 14:1 (2021), 12–20 |
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2019 |
4. |
G. P. Egorychev, “A short calculation of the multiple sum of Krivokolesko–Leinartas with linear constraints on summation indices”, Bulletin of Irkutsk State University. Series Mathematics, 29 (2019), 22–30 |
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2018 |
5. |
G. P. Egorychev, “Determinants as combinatorial summation formulas over an algebra with a unique $n$-ary operation”, Bulletin of Irkutsk State University. Series Mathematics, 26 (2018), 121–127 |
6. |
Georgy P. Egorychev, “Permanents as formulas of summation over an algebra with a unique $n$-ary operation”, J. Sib. Fed. Univ. Math. Phys., 11:6 (2018), 796–799 |
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7. |
Georgy P. Egorychev, Viachelsav P. Krivokolesko, “Computation of an integral of a rational function over the skeleton of unit polycylinder in $\mathbb C^{n}$ by means of the Mellin transform”, J. Sib. Fed. Univ. Math. Phys., 11:3 (2018), 364–369 |
8. |
A. I. Sozutov, G. P. Egorychev, I. O. Aleksandrova, “On Hilbert-Poincare series of associative nilalgebras generated by two nilelements”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018), 243–255 |
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2017 |
9. |
G. P. Egorychev, “The polarization theorem and polynomial identities for matrix functions”, Bulletin of Irkutsk State University. Series Mathematics, 21 (2017), 77–88 |
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2016 |
10. |
G. P. Egorychev, “The enumeration of own $t$-dimensional subspaces of a space $V_{m}$ over the field $GF(q)$”, Bulletin of Irkutsk State University. Series Mathematics, 17 (2016), 12–22 |
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11. |
Georgy P. Egorychev, “The determinants over associative rings: a definition, properties, new formulas and a computational complexity”, J. Sib. Fed. Univ. Math. Phys., 9:4 (2016), 443–448 |
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2012 |
12. |
G. P. Egorychev, “New polynomial identities for determinants over commutative rings”, Bulletin of Irkutsk State University. Series Mathematics, 5:4 (2012), 16–20 |
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13. |
Georgy P. Egorychev, “An integral representation and computation of multiple sum in the theory of cubature formulas”, J. Sib. Fed. Univ. Math. Phys., 5:3 (2012), 363–369 |
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2011 |
14. |
G. P. Egorychev, “Combinatorial identity from the theory of integral representations in $\mathbb{C}^{n}$”, Bulletin of Irkutsk State University. Series Mathematics, 4:4 (2011), 39–44 |
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2010 |
15. |
G. P. Egorychev, M. N. Davletshin, “Enumerative problems in some matrix rings and finite groups”, Bulletin of Irkutsk State University. Series Mathematics, 3:4 (2010), 21–32 |
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1993 |
16. |
G. P. Egorychev, V. M. Levchuk, “Enumerative problems for Lie-type groups and algebras”, Dokl. Akad. Nauk, 330:3 (1993), 291–293 ; Dokl. Math., 47:3 (1993), 464–467 |
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1990 |
17. |
G. P. Egorychev, “Mixed discriminants and parallel addition”, Dokl. Akad. Nauk SSSR, 312:3 (1990), 528–531 ; Dokl. Math., 41:3 (1990), 451–455 |
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1981 |
18. |
G. P. Egorychev, “Solution of the van der Waerden problem for permanents”, Dokl. Akad. Nauk SSSR, 258:5 (1981), 1041–1044 |
19. |
G. P. Egorychev, “Proof of the van der Waerden conjecture for permanents”, Sibirsk. Mat. Zh., 22:6 (1981), 65–71 ; Siberian Math. J., 22:6 (1981), 854–859 |
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1980 |
20. |
G. P. Egorychev, “New formulas for the permanent”, Dokl. Akad. Nauk SSSR, 254:4 (1980), 784–787 |
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1979 |
21. |
G. P. Egorychev, “A polynomial identity for the permanent”, Mat. Zametki, 26:6 (1979), 961–964 ; Math. Notes, 26:6 (1979), 984–986 |
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1977 |
22. |
G. P. Egorychev, Yu. D. Ushakov, “The ranks of the $p$-central series of free groups of certain manifolds”, Mat. Zametki, 22:4 (1977), 575–582 ; Math. Notes, 22:4 (1977), 811–815 |
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1976 |
23. |
L. A. Aizenberg, G. P. Egorychev, “Integral representations with Szegö kernels for functions holomorphic in unbounded n-circular domains”, Dokl. Akad. Nauk SSSR, 231:2 (1976), 265–268 |
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1975 |
24. |
G. P. Egorychev, “Computation of Szegő and Bergman kernels for certain $n$-circular domains by means of multidimensional residues”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 1, 101–103 |
25. |
G. P. Egorychev, “Computation of certain combinatorial sums with linear constraints on the indices of summation”, Sibirsk. Mat. Zh., 16:4 (1975), 856–862 ; Siberian Math. J., 16:4 (1975), 657–661 |
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1974 |
26. |
G. P. Egorychev, A. P. Yuzhakov, “The determination of generating functions and combinatorial sums by means of multidimensional residues”, Sibirsk. Mat. Zh., 15:5 (1974), 1049–1060 ; Siberian Math. J., 15:5 (1974), 740–747 |
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1972 |
27. |
Yu. M. Gorchakov, G. P. Egorychev, “Ranks of factors of the lower central series of a free polynilpotent group”, Dokl. Akad. Nauk SSSR, 204:1 (1972), 12–14 |
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28. |
G. P. Egorychev, “The ranks of the factors of the lower central series of a free solvable group”, Sibirsk. Mat. Zh., 13:3 (1972), 708–713 ; Siberian Math. J., 13:3 (1972), 488–492 |
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