Ryshkov Sergei Sergeevich

Publications in Math-Net.Ru

1. On the theory of mainstay parallelohedra
   
   Izv. RAN. Ser. Mat., 69:6 (2005),  187–210
2. Infinite Faces of a Perfect Voronoi Polyhedron
   
   Mat. Zametki, 75:2 (2004),  261–268
3. On the theory of the cone of positivity and the theory of the perfect polyhedra $\Pi(n)$ and $\mu_n(m)$
   
   Chebyshevskii Sb., 3:1 (2002),  84–96
4. A direct geometric description of the $n$-dimensional Voronoi parallelohedra of second type
   
   Uspekhi Mat. Nauk, 54:1(325) (1999),  263–264
5. The structure of primitive parallelohedra and Voronoi's last problem
   
   Uspekhi Mat. Nauk, 53:2(320) (1998),  161–162
6. Generatrissa. The Maxwell and Voronoi problems
   
   Dokl. Akad. Nauk, 349:6 (1996),  743–746
7. Some systems of generators of the group $\operatorname{GL}(n,\mathbb Z)$ for $n\leqslant 5$
   
   Mat. Sb., 184:1 (1993),  149–156
8. Dual systems of integral vectors (general questions and applications to the geometry of positive quadratic forms)
   
   Mat. Sb., 182:12 (1991),  1796–1812
9. Dual systems of integer vectors and their applications to the theory of $(0,1)$-matrices
   
   Trudy Mat. Inst. Steklov., 196 (1991),  161–173
10. On the dissociation of point systems
    
    Trudy Mat. Inst. Steklov., 196 (1991),  147–155
11. Dual systems of integer-valued vectors and their applications
    
    Dokl. Akad. Nauk SSSR, 314:1 (1990),  123–128
12. Layerwise construction of $L$-bodies of lattices
    
    Uspekhi Mat. Nauk, 44:2(266) (1989),  241–242
13. Minimization of a higher-dimensional $\zeta$-function
    
    Dokl. Akad. Nauk SSSR, 291:1 (1986),  36–40
14. One-dimensional and two-dimensional sides of a polyhedron $\mu(5)$
    
    Zap. Nauchn. Sem. LOMI, 151 (1986),  95–103
15. Perfect lattices as admissible centerings
    
    Itogi Nauki i Tekhniki. Ser. Probl. Geom., 17 (1985),  3–49
16. Derivation of perfect lattices from admissible centerings
    
    Uspekhi Mat. Nauk, 40:4(244) (1985),  139–140
17. Positive forms of degree $2l>2$ and zeta-separating quadratic forms
    
    Dokl. Akad. Nauk SSSR, 269:6 (1983),  1316–1319
18. The geometry of the integer roots of some quadratic equations in several unknowns
    
    Dokl. Akad. Nauk SSSR, 267:3 (1982),  561–563
19. The structure of the $L$-partition for the second perfect lattice
    
    Mat. Sb. (N.S.), 116(158):2(10) (1981),  218–231
20. A geometric estimate of the number of representations of a real number by a positive quadratic form and an estimate of the remainder term of the multidimensiona
    
    Trudy Mat. Inst. Steklov., 158 (1981),  3–8
21. A proof of the theorem on maximal finite groups of integral $5\times5$ matrices
    
    Trudy Mat. Inst. Steklov., 152 (1980),  204–215
22. Vertexes of a symmetrized Minkowski domain for $n\le5$
    
    Trudy Mat. Inst. Steklov., 152 (1980),  195–203
23. On the theory of construction of the Minkowski reduction domain
    
    Trudy Mat. Inst. Steklov., 152 (1980),  175–194
24. Classical methods in the theory of lattice packings
    
    Uspekhi Mat. Nauk, 34:4(208) (1979),  3–63
25. Multidimensional sails
    
    Trudy Mat. Inst. Steklov., 148 (1978),  211–217
26. On the problem of determining perfect quadratic forms of several variables
    
    Trudy Mat. Inst. Steklov., 142 (1976),  215–239
27. $C$-types of $n$-dimensional lattices and 5-dimensional primitive parallelohedra (with application to the theory of coverings)
    
    Trudy Mat. Inst. Steklov., 137 (1976),  3–131
28. Solution of the problem of least dense lattice covering of five-dimensional space by equal spheres
    
    Dokl. Akad. Nauk SSSR, 222:1 (1975),  39–42
29. The combinatorial-metric structure of $L$-partitions of general five-dimensional lattices
    
    Dokl. Akad. Nauk SSSR, 220:2 (1975),  265–268
30. An estimate of the radius of a cylinder imbeddable in every lattice packing of $n$-dimensional unit spheres
    
    Mat. Zametki, 17:1 (1975),  123–128
31. Density of an $(r,R)$-system
    
    Mat. Zametki, 16:3 (1974),  447–454
32. Primitive five-dimensional parallelohedra
    
    Dokl. Akad. Nauk SSSR, 212:3 (1973),  532–535
33. $\mathrm{C}$-type of $n$-dimensional parallelehedra
    
    Dokl. Akad. Nauk SSSR, 212:1 (1973),  46–49
34. On the question of the final $\zeta$-optimality of lattices that yield the densest packing of $n$-dimensional balls
    
    Sibirsk. Mat. Zh., 14:5 (1973),  1065–1075
35. On perfect form $A_n^k$: existence of lattices with non-fundamental simplex of division; existence of perfect forms, which are not reducible in the sense of Minkowski to a form with coefficients
    
    Zap. Nauchn. Sem. LOMI, 33 (1973),  65–71
36. On the heory of reduction of positive quadratic forms
    
    Zap. Nauchn. Sem. LOMI, 33 (1973),  37–64
37. On Hermite, Minkowski and Venkov reduction of positive quadratic forms in $n$ variables
    
    Dokl. Akad. Nauk SSSR, 207:5 (1972),  1054–1056
38. On complete groups of integral automorphisms of positive quadratic forms
    
    Dokl. Akad. Nauk SSSR, 206:3 (1972),  542–544
39. On maximal finite groups of integer $(n\times n)$-matrices
    
    Dokl. Akad. Nauk SSSR, 204:3 (1972),  561–564
40. Maximal finite groups of $n\times n$ integral matrices and full integral automorphism groups of positive quadratic forms (Bravais types)
    
    Trudy Mat. Inst. Steklov., 128 (1972),  183–211
41. On the reduction theory of positive quadratic forms
    
    Dokl. Akad. Nauk SSSR, 198:5 (1971),  1028–1031
42. Extremal problems of the theory of positive quadratic forms
    
    Trudy Mat. Inst. Steklov., 112 (1971),  203–223
43. The polyhedron $\mu(m)$ and certain extremal problems of the geometry of numbers
    
    Dokl. Akad. Nauk SSSR, 194:3 (1970),  514–517
44. A new construction in the theory of lattice coverings of an $n$-dimensional space by equal spheres
    
    Izv. Akad. Nauk SSSR Ser. Mat., 34:2 (1970),  289–298
45. The two-dimensional $\zeta$-function with real parameter
    
    Dokl. Akad. Nauk SSSR, 184:2 (1969),  288–291
46. Effective realization of a method of Davenport in the theory of coverings
    
    Dokl. Akad. Nauk SSSR, 175:2 (1967),  303–305
47. A contribution to the theory of the extrema of a multi-dimensional $\zeta$-function
    
    Dokl. Akad. Nauk SSSR, 173:5 (1967),  991–994
48. A theorem due to Sandakova concerning positive quadratic forms
    
    Mat. Zametki, 1:3 (1967),  253–262
49. The second local density minimum of a lattice covering of the four-dimensional Euclidean space by equal balls
    
    Sibirsk. Mat. Zh., 7:4 (1966),  731–739
50. An optimal cubature grid for bilateraly smooth functions of two variables
    
    Dokl. Akad. Nauk SSSR, 162:6 (1965),  1230–1233
51. Some remarks on the types of $n$-dimensional parallelehedra and on the density of latticed coverings of the space $E^n$ by equal spheres
    
    Dokl. Akad. Nauk SSSR, 162:2 (1965),  277–280
52. Solution of the problem on the least dense lattice covering of a 4-dimensional space by equal spheres
    
    Dokl. Akad. Nauk SSSR, 152:3 (1963),  523–524
53. The structure of an $n$-dimensional parallelohedron of first type
    
    Dokl. Akad. Nauk SSSR, 146:5 (1962),  1027–1030
54. On a mapping of a Hilbert space into itself
    
    Dokl. Akad. Nauk SSSR, 141:5 (1961),  1042–1044
55. On $k$-regular imbeddings and on applications to theory of function approximation
    
    Uspekhi Mat. Nauk, 15:6(96) (1960),  125–132
56. On a class of continuous mappings of some $\infty$-dimensional sets
    
    Dokl. Akad. Nauk SSSR, 114:5 (1957),  961–963
57. On the combinatorial topology of Hilbert space
    
    Dokl. Akad. Nauk SSSR, 114:3 (1957),  494–497


58. Boris Nikolaevich Delone. On his life and creative work
    
    Trudy Mat. Inst. Steklov., 196 (1991),  3–10
59. Vadim Arsen'evich Efremovich (obituary)
    
    Uspekhi Mat. Nauk, 45:6(276) (1990),  113–114
60. Editor's preface
    
    Trudy Mat. Inst. Steklov., 152 (1980),  3–4
61. Boris Nikolaevich Delone (on the occasion of his eightieth birthday)
    
    Uspekhi Mat. Nauk, 26:1(157) (1971),  233–236
62. On V. A. Borovikov's paper: A topological problem Bearing on certain issues of quantum electrodynamics
    
    Uspekhi Mat. Nauk, 15:3(93) (1960),  240