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Vostokov Sergei Vladimirovich

Statistics Math-Net.Ru
Total publications: 70
Scientific articles: 66
Presentations: 7

Number of views:
This page:4342
Abstract pages:14306
Full texts:5021
References:834
Professor
Doctor of physico-mathematical sciences
E-mail: , ,

http://www.mathnet.ru/eng/person12618
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https://mathscinet.ams.org/mathscinet/MRAuthorID/195201

Publications in Math-Net.Ru
1. Universal Approach to the Arithmetics of Formal Groups
S. V. Vostokov, I. L. Klimovitskii, P. N. Pital
Mat. Zametki, 104:2 (2018),  183–190
2. Asymmetric ID-based encryption system, using an explicit pairing function of the reciprocity law
S. V. Vostokov, R. P. Vostokova, I. A. Budanaev
Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 2,  40–44
3. Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field. II
S. V. Vostokov, V. V. Volkov
Zap. Nauchn. Sem. POMI, 443 (2016),  46–60
4. The arithmetic of the Lubin–Tate formal module in a multidimensional complete field
B. M. Bekker, S. V. Vostokov
Algebra i Analiz, 26:6 (2014),  1–9
5. Explicit formula for Hilbert pairing on polynomial formal modules
S. V. Vostokov, V. V. Volkov
Algebra i Analiz, 26:5 (2014),  125–141
6. Lubin–Tate formal module in a cyclic unramified $p$-extension as Galois module
S. V. Vostokov, I. I. Nekrasov
Zap. Nauchn. Sem. POMI, 430 (2014),  61–66
7. Explicit form of Hilbert symbol for polynomial formal groups over multidimensional local field. I
S. V. Vostokov, V. V. Volkov, M. V. Bondarko
Zap. Nauchn. Sem. POMI, 430 (2014),  53–60
8. Classification of formal $A$-modules in the case of small ramification
S. S. Afanas'eva, S. V. Vostokov
Zap. Nauchn. Sem. POMI, 430 (2014),  5–12
9. Shafarevich's paper “A general reciprocity law”
S. V. Vostokov
Mat. Sb., 204:6 (2013),  3–22
10. Primary Elements in Formal Modules
S. V. Vostokov, I. L. Klimovitskii
Sovrem. Probl. Mat., 17 (2013),  153–163
11. Cauchy's integral theorem and classical reciprocity law
S. V. Vostokov, M. A. Ivanov
Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  73–82
12. The Hilbert symbol of a polynomial formal group
S. V. Vostokov, V. V. Volkov, G. K. Pak
Zap. Nauchn. Sem. POMI, 400 (2012),  127–132
13. The Hilbert symbol in multi-dimensional local fields for Lubin–Tate formal groups
S. S. Afanas'eva, B. M. Bekker, S. V. Vostokov
Zap. Nauchn. Sem. POMI, 400 (2012),  20–49
14. Canonical basis of Hensel–Shafarevich in complete discrete valuation fields
S. V. Vostokov
Zap. Nauchn. Sem. POMI, 394 (2011),  174–193
15. Eisenstein's reciprocity law for Lubin–Tate formal groups
S. V. Vostokov, M. A. Ivanov
Zap. Nauchn. Sem. POMI, 386 (2011),  129–143
16. On a paper by Hasse concerning Eisenstein reciprocity law
S. V. Vostokov, M. A. Ivanov, G. K. Pak
Zap. Nauchn. Sem. POMI, 365 (2009),  122–129
17. The classical reciprocity law for power residues as an analog of the Abelian integral theorem
S. V. Vostokov
Algebra i Analiz, 20:6 (2008),  108–118
18. Variations on the theme of D. K. Faddeev's paper “An explicit form of the Kummer–Takagi reciprocity law”
S. V. Vostokov
Algebra i Analiz, 19:5 (2007),  65–69
19. Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification
S. V. Vostokov, A. N. Zinoviev
Zap. Nauchn. Sem. POMI, 338 (2006),  125–136
20. Distinguished isogenies for formal groups in local fields with small ramification
S. V. Vostokov, B. M. Bekker
Zap. Nauchn. Sem. POMI, 330 (2006),  93–100
21. Restriction of the scalars for formal groups
M. V. Bondarko, S. V. Vostokov, Kh. P. Minchev
Zap. Nauchn. Sem. POMI, 319 (2004),  59–70
22. The Hilbert pairing for formal groups over $\sigma$-rings
M. V. Bondarko, S. V. Vostokov, F. Lorenz
Zap. Nauchn. Sem. POMI, 319 (2004),  5–58
23. An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field
S. V. Vostokov, F. Lorenz
Mat. Sb., 194:2 (2003),  3–36
24. An Explicit Classification of Formal Groups over Local Fields
M. V. Bondarko, S. V. Vostokov
Tr. Mat. Inst. Steklova, 241 (2003),  43–67
25. Norm series in multidimensional local fields
S. V. Vostokov, G. K. Pak
Zap. Nauchn. Sem. POMI, 305 (2003),  60–83
26. Norm series for the Lubin–Tate formal groups
S. V. Vostokov, R. Perlis
Zap. Nauchn. Sem. POMI, 281 (2001),  105–127
27. Hilbert symbol in a complete multidimensional field for an arbitrary prime number. Part I
T. B. Belyaeva, S. V. Vostokov
Zap. Nauchn. Sem. POMI, 281 (2001),  5–34
28. The explicit formula of the Hilbert symbol for Honda formal groups
S. V. Vostokov, O. V. Demchenko
Zap. Nauchn. Sem. POMI, 272 (2000),  86–128
29. Additive Galois modules in Dedekind rings. Decomposability
M. V. Bondarko, S. V. Vostokov
Algebra i Analiz, 11:6 (1999),  103–121
30. Explicit pairing and class field theory of multidimensional complete fields
K. Lai, S. V. Vostokov
Algebra i Analiz, 11:4 (1999),  95–114
31. Decomposability of ideals as Galois modules in complete discrete valuation fields
M. V. Bondarko, S. V. Vostokov
Algebra i Analiz, 11:2 (1999),  41–63
32. Extensions with almost maximal depth of ramification
S. V. Vostokov, I. B. Zhukov, G. K. Pak
Zap. Nauchn. Sem. POMI, 265 (1999),  77–109
33. Shafarevich bases in topological $K$-groups
B. Bekker, M. V. Bondarko, S. Vostokov
Algebra i Analiz, 10:2 (1998),  63–80
34. Additive Galois modules in complete discrete valuation fields
M. V. Bondarko, S. V. Vostokov, I. B. Zhukov
Algebra i Analiz, 9:4 (1997),  28–46
35. The numbers of representations of elements of $GF(p)$ as sums of $l$th degrees
S. V. Vostokov, P. M. Vinnik
Zap. Nauchn. Sem. POMI, 236 (1997),  68–72
36. A decomposition of ideals in an Abelian $p$-extension of complete discretely valuated fields.
M. V. Bondarko, S. V. Vostokov
Zap. Nauchn. Sem. POMI, 236 (1997),  23–33
37. Hilbert pairing on a complete high-dimensional field
S. V. Vostokov
Trudy Mat. Inst. Steklov., 208 (1995),  80–92
38. A relationship between the Hilbert and Witt symbols
S. V. Vostokov, A. N. Gurevich
Zap. Nauchn. Sem. POMI, 227 (1995),  45–51
39. An explicit form of the Hilbert pairing for the relative formal Lubin–Tate groups
S. V. Vostokov, O. V. Demchenko
Zap. Nauchn. Sem. POMI, 227 (1995),  41–44
40. The seminar “Constructive Class Field Theory”
B. M. Bekker, D. G. Benois, S. V. Vostokov, I. B. Zhukov, A. L. Smirnov, I. B. Fesenko
Algebra i Analiz, 4:1 (1992),  177–193
41. Galois modules in multidimensional local field
S. V. Vostokov, R. P. Mokrinskaya
Zap. Nauchn. Sem. LOMI, 198 (1991),  5–14
42. Arithmetic of group of points of formal group
D. G. Benois, S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 191 (1991),  9–23
43. Norm pairing in formal groups and Galois representations
D. G. Benois, S. V. Vostokov
Algebra i Analiz, 2:6 (1990),  69–97
44. On the theory of multidimensional local fields. Methods and constructions
S. V. Vostokov, I. B. Zhukov, I. B. Fesenko
Algebra i Analiz, 2:4 (1990),  91–118
45. An elementary abelian $p$-extension of a multidimensional local field
S. V. Vostokov
Trudy Mat. Inst. Steklov., 183 (1990),  50–60
46. On the norm property of the Gilbert's pairing
S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 175 (1989),  30–45
47. A certain property of the Hilbert pairing
S. V. Vostokov, I. B. Fesenko
Mat. Zametki, 43:3 (1988),  393–400
48. Lutz filtration as Galois module in an extension without higher ramification
S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 160 (1987),  182–192
49. Explicit construction of class field theory for a multidimensional local field
S. V. Vostokov
Izv. Akad. Nauk SSSR Ser. Mat., 49:2 (1985),  283–308
50. Hilbert symbol for Lubin–Tate formal groups. II
S. V. Vostokov, I. B. Fesenko
Zap. Nauchn. Sem. LOMI, 132 (1983),  85–96
51. Horm pairing in the two-dimensional local field
S. V. Vostokov, A. N. Kirillov
Zap. Nauchn. Sem. LOMI, 132 (1983),  76–84
52. The Hilbert symbol for Lubin–Tate formal groups. I
S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 114 (1982),  77–95
53. Symbols on formal groups
S. V. Vostokov
Izv. Akad. Nauk SSSR Ser. Mat., 45:5 (1981),  985–1014
54. The Hilbert symbol in an extension of the 2-adic field
S. V. Vostokov, V. A. Letsko
Zap. Nauchn. Sem. LOMI, 103 (1980),  58–61
55. The canonical decomposition in the group of points of a formal group
S. V. Vostokov, V. A. Letsko
Zap. Nauchn. Sem. LOMI, 103 (1980),  52–57
56. A norm pairing in formal modules
S. V. Vostokov
Izv. Akad. Nauk SSSR Ser. Mat., 43:4 (1979),  765–794
57. Hilbert symbol in a discrete valuated field
S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 94 (1979),  50–69
58. Explicit form of the law of reciprocity
S. V. Vostokov
Izv. Akad. Nauk SSSR Ser. Mat., 42:6 (1978),  1288–1321
59. The reciprocity law in an algebraic number field
S. V. Vostokov
Trudy Mat. Inst. Steklov., 148 (1978),  77–81
60. The second factor in the reciprocity law
S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 75 (1978),  59–66
61. The ring of integers in an abelian extention of an algebraic number field as a Galois module
S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 71 (1977),  80–84
62. Normal basis for an ideal in a local ring
S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 64 (1976),  64–68
63. Ideals of an abelian $p$-extension of local fields as Galois modules
S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 57 (1976),  64–84
64. Ideals of the abelian irregular $p$-extensien of local field as Galois modules
S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 46 (1974),  14–35
65. An orthogonal basis of a local field
S. V. Vostokov
Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973),  1228–1240
66. Ring of integers in an extension of prime degree of a local field as the Galois module
Z. I. Borevich, S. V. Vostokov
Zap. Nauchn. Sem. LOMI, 31 (1973),  24–37

67. Aleksei Nikolaevich Parshin (on his 70th birthday)
S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich
Uspekhi Mat. Nauk, 68:1(409) (2013),  201–207
68. Harmony in algebra (on the centenary of the birth of Dmitriĭ Konstantinovich Faddeev, Corresponding Member of the Academy of Sciences of the USSR)
S. V. Vostokov, I. R. Shafarevich
Vladikavkaz. Mat. Zh., 10:1 (2008),  3–9
69. Celebration of Leonhard Euler's 300th birthday
A. M. Vershik, S. V. Vostokov
Uspekhi Mat. Nauk, 62:4(376) (2007),  186–189
70. Anatolii Vladimirovich Yakovlev
N. A. Vavilov, S. V. Vostokov, A. I. Generalov, N. L. Gordeev, B. B. Lur'e, A. S. Merkur'ev, V. V. Ishkhanov, I. A. Panin, A. I. Skopin, A. A. Suslin
Zap. Nauchn. Sem. POMI, 272 (2000),  5–13

Presentations in Math-Net.Ru
1. Canonical Hensel–Shafarevich basis in Honda formal modules
S. V. Vostokov, R. P. Vostokova, E. V. Ikonnikova
XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems and applications», dedicated to the centenary of the birth of the Doctor of Physical and Mathematical Sciences, Professor of the Moscow State University Korobov Nikolai Mikhailovich
May 29, 2018 15:30
2. Когомологии формальных модулей над формальными полями
I. I. Nekrasov, S. V. Vostokov
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
November 28, 2017 15:00
3. The law of reciprocity - the history and present state
S. V. Vostokov
Seminar on the History of Mathematics
May 5, 2016 18:00   
4. К работе И. Р. Шафаревича «Общий закон взаимности»
S. V. Vostokov
International conference dedicated to the 90th anniversary of academician Igor Rostislavovich Shafarevich
June 3, 2013 15:30   
5. John Tate, a new Abel Prize laureate
M. I. Bashmakov, S. V. Vostokov
Meetings of the St. Petersburg Mathematical Society
April 6, 2010
6. Эйлер и закон взаимности
S. V. Vostokov
Meetings of the St. Petersburg Mathematical Society
May 16, 2007
7. Обобщение классической функции Артина–Хассе
S. V. Vostokov
Seminar of the Department of Algebra
November 16, 2004

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