Egorychev Georgii Petrovich

Publications in Math-Net.Ru

1. 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. Enveloping algebras and ideals of the niltriangular subalgebra of the Chevalley algebra
   
   Sibirsk. Mat. Zh., 64:2 (2023),  292–311
3. 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
4. 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
5. 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. 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
7. 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. On Hilbert-Poincare series of associative nilalgebras generated by two nilelements
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  243–255
9. The polarization theorem and polynomial identities for matrix functions
   
   Bulletin of Irkutsk State University. Series Mathematics, 21 (2017),  77–88
10. 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
11. 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
12. New polynomial identities for determinants over commutative rings
    
    Bulletin of Irkutsk State University. Series Mathematics, 5:4 (2012),  16–20
13. 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
14. Combinatorial identity from the theory of integral representations in $\mathbb{C}^{n}$
    
    Bulletin of Irkutsk State University. Series Mathematics, 4:4 (2011),  39–44
15. Enumerative problems in some matrix rings and finite groups
    
    Bulletin of Irkutsk State University. Series Mathematics, 3:4 (2010),  21–32
16. Enumerative problems for Lie-type groups and algebras
    
    Dokl. Akad. Nauk, 330:3 (1993),  291–293
17. Mixed discriminants and parallel addition
    
    Dokl. Akad. Nauk SSSR, 312:3 (1990),  528–531
18. Solution of the van der Waerden problem for permanents
    
    Dokl. Akad. Nauk SSSR, 258:5 (1981),  1041–1044
19. Proof of the van der Waerden conjecture for permanents
    
    Sibirsk. Mat. Zh., 22:6 (1981),  65–71
20. New formulas for the permanent
    
    Dokl. Akad. Nauk SSSR, 254:4 (1980),  784–787
21. A polynomial identity for the permanent
    
    Mat. Zametki, 26:6 (1979),  961–964
22. The ranks of the $p$-central series of free groups of certain manifolds
    
    Mat. Zametki, 22:4 (1977),  575–582
23. Integral representations with Szegц kernels for functions holomorphic in unbounded n-circular domains
    
    Dokl. Akad. Nauk SSSR, 231:2 (1976),  265–268
24. 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. Computation of certain combinatorial sums with linear constraints on the indices of summation
    
    Sibirsk. Mat. Zh., 16:4 (1975),  856–862
26. The determination of generating functions and combinatorial sums by means of multidimensional residues
    
    Sibirsk. Mat. Zh., 15:5 (1974),  1049–1060
27. Ranks of factors of the lower central series of a free polynilpotent group
    
    Dokl. Akad. Nauk SSSR, 204:1 (1972),  12–14
28. The ranks of the factors of the lower central series of a free solvable group
    
    Sibirsk. Mat. Zh., 13:3 (1972),  708–713