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Publications in Math-Net.Ru |
Citations |
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2005 |
1. |
S. S. Ryshkov, E. A. Bolshakova, “On the theory of mainstay parallelohedra”, Izv. RAN. Ser. Mat., 69:6 (2005), 187–210 ; Izv. Math., 69:6 (2005), 1257–1277 |
7
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2004 |
2. |
S. S. Ryshkov, “Infinite Faces of a Perfect Voronoi Polyhedron”, Mat. Zametki, 75:2 (2004), 261–268 ; Math. Notes, 75:2 (2004), 236–242 |
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2002 |
3. |
S. S. Ryshkov, “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 |
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1999 |
4. |
S. S. Ryshkov, “A direct geometric description of the $n$-dimensional Voronoi parallelohedra of second type”, Uspekhi Mat. Nauk, 54:1(325) (1999), 263–264 ; Russian Math. Surveys, 54:1 (1999), 264–265 |
3
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1998 |
5. |
S. S. Ryshkov, “The structure of primitive parallelohedra and Voronoi's last problem”, Uspekhi Mat. Nauk, 53:2(320) (1998), 161–162 ; Russian Math. Surveys, 53:2 (1998), 403–405 |
4
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1996 |
6. |
S. S. Ryshkov, K. A. Rybnikov (jr.), “Generatrissa. The Maxwell and Voronoi problems”, Dokl. Akad. Nauk, 349:6 (1996), 743–746 ; Dokl. Math., 54:1 (1996), 614–617 |
2
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1993 |
7. |
A. Dress, S. S. Ryshkov, “Some systems of generators of the group $\operatorname{GL}(n,\mathbb Z)$ for $n\leqslant 5$”, Mat. Sb., 184:1 (1993), 149–156 ; Russian Acad. Sci. Sb. Math., 78:1 (1994), 131–137 |
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1991 |
8. |
S. S. Ryshkov, R. M. Erdahl, “Dual systems of integral vectors (general questions and applications to the geometry of positive quadratic forms)”, Mat. Sb., 182:12 (1991), 1796–1812 ; Math. USSR-Sb., 74:2 (1993), 541–554 |
2
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9. |
S. S. Ryshkov, R. M. Erdahl, “Dual systems of integer vectors and their applications to the theory of $(0,1)$-matrices”, Trudy Mat. Inst. Steklov., 196 (1991), 161–173 ; Proc. Steklov Inst. Math., 196 (1992), 179–193 |
2
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10. |
S. S. Ryshkov, S. A. Chepanov, N. N. Yakovlev, “On the dissociation of point systems”, Trudy Mat. Inst. Steklov., 196 (1991), 147–155 ; Proc. Steklov Inst. Math., 196 (1992), 163–172 |
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1990 |
11. |
S. S. Ryshkov, R. M. Erdahl, “Dual systems of integer-valued vectors and their applications”, Dokl. Akad. Nauk SSSR, 314:1 (1990), 123–128 ; Dokl. Math., 42:2 (1991), 366–371 |
1
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1989 |
12. |
S. S. Ryshkov, R. M. Erdahl, “Layerwise construction of $L$-bodies of lattices”, Uspekhi Mat. Nauk, 44:2(266) (1989), 241–242 ; Russian Math. Surveys, 44:2 (1989), 293–294 |
4
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1986 |
13. |
S. S. Ryshkov, M. Kh. Umarov, “Minimization of a higher-dimensional $\zeta$-function”, Dokl. Akad. Nauk SSSR, 291:1 (1986), 36–40 |
14. |
Z. D. Lomakina, S. S. Ryshkov, “One-dimensional and two-dimensional sides of a polyhedron $\mu(5)$”, Zap. Nauchn. Sem. LOMI, 151 (1986), 95–103 |
2
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1985 |
15. |
S. S. Ryshkov, E. P. Baranovskii, “Perfect lattices as admissible centerings”, Itogi Nauki i Tekhniki. Ser. Probl. Geom., 17 (1985), 3–49 ; J. Soviet Math., 37:4 (1987), 1155–1183 |
1
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16. |
E. P. Baranovskii, S. S. Ryshkov, “Derivation of perfect lattices from admissible centerings”, Uspekhi Mat. Nauk, 40:4(244) (1985), 139–140 ; Russian Math. Surveys, 40:4 (1985), 155–156 |
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1983 |
17. |
S. S. Ryshkov, S. Sh. Shushbaev, “Positive forms of degree $2l>2$ and zeta-separating quadratic forms”, Dokl. Akad. Nauk SSSR, 269:6 (1983), 1316–1319 |
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1982 |
18. |
S. S. Ryshkov, R. M. Erdahl, “The geometry of the integer roots of some quadratic equations in several unknowns”, Dokl. Akad. Nauk SSSR, 267:3 (1982), 561–563 |
2
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1981 |
19. |
S. S. Ryshkov, S. Sh. Shushbaev, “The structure of the $L$-partition for the second perfect lattice”, Mat. Sb. (N.S.), 116(158):2(10) (1981), 218–231 ; Math. USSR-Sb., 44:2 (1983), 195–206 |
1
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20. |
E. P. Baranovskii, S. S. Ryshkov, S. Sh. Shushbaev, “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 ; Proc. Steklov Inst. Math., 158 (1983), 1–7 |
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1980 |
21. |
S. S. Ryshkov, Z. D. Lomakina, “A proof of the theorem on maximal finite groups of integral $5\times5$ matrices”, Trudy Mat. Inst. Steklov., 152 (1980), 204–215 ; Proc. Steklov Inst. Math., 152 (1982), 225–236 |
1
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22. |
S. S. Ryshkov, M. J. Cohn, Z. D. Lomakina, “Vertexes of a symmetrized Minkowski domain for $n\le5$”, Trudy Mat. Inst. Steklov., 152 (1980), 195–203 ; Proc. Steklov Inst. Math., 152 (1982), 213–223 |
1
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23. |
S. S. Ryshkov, M. J. Cohn, “On the theory of construction of the Minkowski reduction domain”, Trudy Mat. Inst. Steklov., 152 (1980), 175–194 ; Proc. Steklov Inst. Math., 152 (1982), 191–212 |
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1979 |
24. |
S. S. Ryshkov, E. P. Baranovskii, “Classical methods in the theory of lattice packings”, Uspekhi Mat. Nauk, 34:4(208) (1979), 3–63 ; Russian Math. Surveys, 34:4 (1979), 1–68 |
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1978 |
25. |
S. S. Ryshkov, “Multidimensional sails”, Trudy Mat. Inst. Steklov., 148 (1978), 211–217 ; Proc. Steklov Inst. Math., 148 (1980), 219–226 |
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1976 |
26. |
S. S. Ryshkov, “On the problem of determining perfect quadratic forms of several variables”, Trudy Mat. Inst. Steklov., 142 (1976), 215–239 ; Proc. Steklov Inst. Math., 142 (1979), 233–259 |
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27. |
S. S. Ryshkov, E. P. Baranovskii, “$C$-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 ; Proc. Steklov Inst. Math., 137 (1976), 1–140 |
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1975 |
28. |
S. S. Ryshkov, E. P. Baranovskii, “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 |
1
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29. |
E. P. Baranovskii, S. S. Ryshkov, “The combinatorial-metric structure of $L$-partitions of general five-dimensional lattices”, Dokl. Akad. Nauk SSSR, 220:2 (1975), 265–268 |
30. |
S. S. Ryshkov, J. G. Horváth, “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 ; Math. Notes, 17:1 (1975), 72–75 |
3
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1974 |
31. |
S. S. Ryshkov, “Density of an $(r,R)$-system”, Mat. Zametki, 16:3 (1974), 447–454 ; Math. Notes, 16:3 (1974), 855–858 |
2
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1973 |
32. |
E. P. Baranovskii, S. S. Ryshkov, “Primitive five-dimensional parallelohedra”, Dokl. Akad. Nauk SSSR, 212:3 (1973), 532–535 |
1
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33. |
S. S. Ryshkov, “$\mathrm{C}$-type of $n$-dimensional parallelehedra”, Dokl. Akad. Nauk SSSR, 212:1 (1973), 46–49 |
1
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34. |
S. S. Ryshkov, “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 ; Siberian Math. J., 14:5 (1973), 743–750 |
8
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35. |
S. S. Ryshkov, “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 |
6
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36. |
S. S. Ryshkov, “On the heory of reduction of positive quadratic forms”, Zap. Nauchn. Sem. LOMI, 33 (1973), 37–64 |
1
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1972 |
37. |
S. S. Ryshkov, “On Hermite, Minkowski and Venkov reduction of positive quadratic forms in $n$ variables”, Dokl. Akad. Nauk SSSR, 207:5 (1972), 1054–1056 |
38. |
S. S. Ryshkov, “On complete groups of integral automorphisms of positive quadratic forms”, Dokl. Akad. Nauk SSSR, 206:3 (1972), 542–544 |
39. |
S. S. Ryshkov, “On maximal finite groups of integer $(n\times n)$-matrices”, Dokl. Akad. Nauk SSSR, 204:3 (1972), 561–564 |
1
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40. |
S. S. Ryshkov, “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 ; Proc. Steklov Inst. Math., 128 (1972), 217–250 |
5
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1971 |
41. |
S. S. Ryshkov, “On the reduction theory of positive quadratic forms”, Dokl. Akad. Nauk SSSR, 198:5 (1971), 1028–1031 |
42. |
B. N. Delone, S. S. Ryshkov, “Extremal problems of the theory of positive quadratic forms”, Trudy Mat. Inst. Steklov., 112 (1971), 203–223 ; Proc. Steklov Inst. Math., 112 (1971), 211–231 |
4
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1970 |
43. |
S. S. Ryshkov, “The polyhedron $\mu(m)$ and certain extremal problems of the geometry of numbers”, Dokl. Akad. Nauk SSSR, 194:3 (1970), 514–517 |
7
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44. |
B. N. Delone, N. P. Dolbilin, S. S. Ryshkov, M. I. Shtogrin, “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 ; Math. USSR-Izv., 4:2 (1970), 293–302 |
9
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1969 |
45. |
S. S. Ryshkov, “The two-dimensional $\zeta$-function with real parameter”, Dokl. Akad. Nauk SSSR, 184:2 (1969), 288–291 |
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1967 |
46. |
S. S. Ryshkov, “Effective realization of a method of Davenport in the theory of coverings”, Dokl. Akad. Nauk SSSR, 175:2 (1967), 303–305 |
5
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47. |
B. N. Delone, S. S. Ryshkov, “A contribution to the theory of the extrema of a multi-dimensional $\zeta$-function”, Dokl. Akad. Nauk SSSR, 173:5 (1967), 991–994 |
3
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48. |
B. N. Delone, S. S. Ryshkov, M. I. Shtogrin, “A theorem due to Sandakova concerning positive quadratic forms”, Mat. Zametki, 1:3 (1967), 253–262 ; Math. Notes, 1:3 (1967), 171–175 |
1
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1966 |
49. |
E. P. Baranovskii, S. S. Ryshkov, “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 ; Siberian Math. J., 7:4 (1966), 583–590 |
1
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1965 |
50. |
B. N. Delone, N. N. Sandakova, S. S. Ryshkov, “An optimal cubature grid for bilateraly smooth functions of two variables”, Dokl. Akad. Nauk SSSR, 162:6 (1965), 1230–1233 |
51. |
S. S. Ryshkov, “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 |
1
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1963 |
52. |
B. N. Delone, S. S. Ryshkov, “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 |
5
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1962 |
53. |
S. S. Ryshkov, “The structure of an $n$-dimensional parallelohedron of first type”, Dokl. Akad. Nauk SSSR, 146:5 (1962), 1027–1030 |
2
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1961 |
54. |
S. S. Ryshkov, “On a mapping of a Hilbert space into itself”, Dokl. Akad. Nauk SSSR, 141:5 (1961), 1042–1044 |
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1960 |
55. |
V. G. Boltyanskii, S. S. Ryshkov, Yu. A. Shashkin, “On $k$-regular imbeddings and on applications to theory of function approximation”, Uspekhi Mat. Nauk, 15:6(96) (1960), 125–132 |
5
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1957 |
56. |
S. S. Ryshkov, “On a class of continuous mappings of some $\infty$-dimensional sets”, Dokl. Akad. Nauk SSSR, 114:5 (1957), 961–963 |
1
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57. |
S. S. Ryshkov, “On the combinatorial topology of Hilbert space”, Dokl. Akad. Nauk SSSR, 114:3 (1957), 494–497 |
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1991 |
58. |
D. K. Faddeev, N. P. Dolbilin, S. S. Ryshkov, M. I. Shtogrin, “Boris Nikolaevich Delone. On his life and creative work”, Trudy Mat. Inst. Steklov., 196 (1991), 3–10 ; Proc. Steklov Inst. Math., 196 (1992), 1–9 |
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1990 |
59. |
V. S. Makarov, A. A. Mal'tsev, S. P. Novikov, S. S. Ryshkov, E. S. Tikhomirova, A. S. Schwarz, “Vadim Arsen'evich Efremovich (obituary)”, Uspekhi Mat. Nauk, 45:6(276) (1990), 113–114 ; Russian Math. Surveys, 45:6 (1990), 137–138 |
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1980 |
60. |
S. S. Ryshkov, “Editor's preface”, Trudy Mat. Inst. Steklov., 152 (1980), 3–4 |
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1971 |
61. |
S. S. Ryshkov, D. K. Faddeev, M. I. Shtogrin, “Boris Nikolaevich Delone (on the occasion of his eightieth birthday)”, Uspekhi Mat. Nauk, 26:1(157) (1971), 233–236 ; Russian Math. Surveys, 26:1 (1971), 199–203 |
1
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1960 |
62. |
S. S. Ryshkov, “On V. A. Borovikov's paper: A topological problem Bearing on certain issues of quantum electrodynamics”, Uspekhi Mat. Nauk, 15:3(93) (1960), 240 |
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