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Vostokov, Sergei Vladimirovich

Statistics Math-Net.Ru
Total publications: 77
Scientific articles: 73
Presentations: 8

Number of views:
This page:5537
Abstract pages:18676
Full texts:6849
References:1124
Professor
Doctor of physico-mathematical sciences
E-mail: , ,

http://www.mathnet.ru/eng/person12618
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List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/195201

Publications in Math-Net.Ru
2019
1. S. V. Vostokov, I. B. Zhukov, O. Yu. Ivanova, “Inaba extension of complete field of characteristic $0$”, Chebyshevskii Sb., 20:3 (2019),  124–133  mathnet
2. O. Ivanova, S. Vostokov, I. Zhukov, “On two approaches to classification of higher local fields”, Chebyshevskii Sb., 20:2 (2019),  186–197  mathnet
3. S. V. Vostokov, I. I. Nekrasov, “Cohomology of Formal Modules over Local Fields”, Mat. Zametki, 105:1 (2019),  3–8  mathnet  elib; Math. Notes, 105:1 (2019), 3–7  isi  scopus
2018
4. S. V. Vostokov, R. P. Vostokova, S. V. Bezzateev, “Number theory and applications in cryptography”, Chebyshevskii Sb., 19:3 (2018),  61–73  mathnet  elib
5. S. V. Vostokov, I. L. Klimovitskii, P. N. Pital, “Universal Approach to the Arithmetics of Formal Groups”, Mat. Zametki, 104:2 (2018),  183–190  mathnet  elib; Math. Notes, 104:2 (2018), 204–209  isi  scopus
2016
6. S. V. Vostokov, R. P. Vostokova, I. A. Budanaev, “Asymmetric ID-based encryption system, using an explicit pairing function of the reciprocity law”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, 2,  40–44  mathnet
7. S. V. Vostokov, V. V. Volkov, “Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field. II”, Zap. Nauchn. Sem. POMI, 443 (2016),  46–60  mathnet  mathscinet; J. Math. Sci. (N. Y.), 222:4 (2017), 394–403  scopus
2014
8. B. M. Bekker, S. V. Vostokov, “The arithmetic of the Lubin–Tate formal module in a multidimensional complete field”, Algebra i Analiz, 26:6 (2014),  1–9  mathnet  mathscinet  elib; St. Petersburg Math. J., 26:6 (2015), 859–865  isi  elib  scopus
9. S. V. Vostokov, V. V. Volkov, “Explicit formula for Hilbert pairing on polynomial formal modules”, Algebra i Analiz, 26:5 (2014),  125–141  mathnet  mathscinet  elib; St. Petersburg Math. J., 26:5 (2015), 785–796  isi  elib  scopus
10. S. V. Vostokov, I. I. Nekrasov, “Lubin–Tate formal module in a cyclic unramified $p$-extension as Galois module”, Zap. Nauchn. Sem. POMI, 430 (2014),  61–66  mathnet  mathscinet; J. Math. Sci. (N. Y.), 219:3 (2016), 375–379
11. S. V. Vostokov, V. V. Volkov, M. V. Bondarko, “Explicit form of Hilbert symbol for polynomial formal groups over multidimensional local field. I”, Zap. Nauchn. Sem. POMI, 430 (2014),  53–60  mathnet  mathscinet; J. Math. Sci. (N. Y.), 219:3 (2016), 370–374
12. S. S. Afanas'eva, S. V. Vostokov, “Classification of formal $A$-modules in the case of small ramification”, Zap. Nauchn. Sem. POMI, 430 (2014),  5–12  mathnet  mathscinet; J. Math. Sci. (N. Y.), 219:3 (2016), 337–342
2013
13. S. V. Vostokov, “Shafarevich's paper “A general reciprocity law””, Mat. Sb., 204:6 (2013),  3–22  mathnet  mathscinet  zmath  elib; Sb. Math., 204:6 (2013), 781–800  isi  elib  scopus
14. S. V. Vostokov, I. L. Klimovitskii, “Primary Elements in Formal Modules”, Sovrem. Probl. Mat., 17 (2013),  153–163  mathnet  elib; Proc. Steklov Inst. Math., 282, suppl. 1 (2013), S140–S149  isi  scopus
2012
15. S. V. Vostokov, M. A. Ivanov, “Cauchy's integral theorem and classical reciprocity law”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  73–82  mathnet
16. S. V. Vostokov, V. V. Volkov, G. K. Pak, “The Hilbert symbol of a polynomial formal group”, Zap. Nauchn. Sem. POMI, 400 (2012),  127–132  mathnet; J. Math. Sci. (N. Y.), 192:2 (2013), 196–199  scopus
17. S. S. Afanas'eva, B. M. Bekker, S. V. Vostokov, “The Hilbert symbol in multi-dimensional local fields for Lubin–Tate formal groups”, Zap. Nauchn. Sem. POMI, 400 (2012),  20–49  mathnet  mathscinet; J. Math. Sci. (N. Y.), 192:2 (2013), 137–153  scopus
2011
18. S. V. Vostokov, “Canonical basis of Hensel–Shafarevich in complete discrete valuation fields”, Zap. Nauchn. Sem. POMI, 394 (2011),  174–193  mathnet  mathscinet; J. Math. Sci. (N. Y.), 188:5 (2013), 570–581  scopus
19. S. V. Vostokov, M. A. Ivanov, “Eisenstein's reciprocity law for Lubin–Tate formal groups”, Zap. Nauchn. Sem. POMI, 386 (2011),  129–143  mathnet; J. Math. Sci. (N. Y.), 180:3 (2012), 269–277  scopus
2009
20. S. V. Vostokov, M. A. Ivanov, G. K. Pak, “On a paper by Hasse concerning Eisenstein reciprocity law”, Zap. Nauchn. Sem. POMI, 365 (2009),  122–129  mathnet  zmath; J. Math. Sci. (N. Y.), 161:4 (2009), 525–529  scopus
2008
21. S. V. Vostokov, “The classical reciprocity law for power residues as an analog of the Abelian integral theorem”, Algebra i Analiz, 20:6 (2008),  108–118  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 20:6 (2009), 929–936  isi
2007
22. S. V. Vostokov, “Variations on the theme of D. K. Faddeev's paper “An explicit form of the Kummer–Takagi reciprocity law””, Algebra i Analiz, 19:5 (2007),  65–69  mathnet  mathscinet  zmath; St. Petersburg Math. J., 19:5 (2008), 719–722  isi
2006
23. S. V. Vostokov, A. N. Zinoviev, “Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification”, Zap. Nauchn. Sem. POMI, 338 (2006),  125–136  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 145:1 (2007), 4765–4772  elib  scopus
24. S. V. Vostokov, B. M. Bekker, “Distinguished isogenies for formal groups in local fields with small ramification”, Zap. Nauchn. Sem. POMI, 330 (2006),  93–100  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 140:5 (2007), 655–659  scopus
2004
25. M. V. Bondarko, S. V. Vostokov, Kh. P. Minchev, “Restriction of the scalars for formal groups”, Zap. Nauchn. Sem. POMI, 319 (2004),  59–70  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 134:6 (2006), 2477–2482
26. M. V. Bondarko, S. V. Vostokov, F. Lorenz, “The Hilbert pairing for formal groups over $\sigma$-rings”, Zap. Nauchn. Sem. POMI, 319 (2004),  5–58  mathnet  mathscinet  zmath  elib; J. Math. Sci. (N. Y.), 134:6 (2006), 2445–2476  elib
2003
27. S. V. Vostokov, F. Lorenz, “An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field”, Mat. Sb., 194:2 (2003),  3–36  mathnet  mathscinet  zmath  elib; Sb. Math., 194:2 (2003), 165–197  isi  scopus
28. M. V. Bondarko, S. V. Vostokov, “An Explicit Classification of Formal Groups over Local Fields”, Tr. Mat. Inst. Steklova, 241 (2003),  43–67  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 241 (2003), 35–57
29. S. V. Vostokov, G. K. Pak, “Norm series in multidimensional local fields”, Zap. Nauchn. Sem. POMI, 305 (2003),  60–83  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 130:3 (2005), 4675–4688
2001
30. S. V. Vostokov, R. Perlis, “Norm series for the Lubin–Tate formal groups”, Zap. Nauchn. Sem. POMI, 281 (2001),  105–127  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 120:4 (2004), 1549–1560
31. T. B. Belyaeva, S. V. Vostokov, “Hilbert symbol in a complete multidimensional field for an arbitrary prime number. Part I”, Zap. Nauchn. Sem. POMI, 281 (2001),  5–34  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 120:4 (2004), 1483–1500
2000
32. S. V. Vostokov, O. V. Demchenko, “The explicit formula of the Hilbert symbol for Honda formal groups”, Zap. Nauchn. Sem. POMI, 272 (2000),  86–128  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 116:1 (2003), 2926–2952
1999
33. M. V. Bondarko, S. V. Vostokov, “Additive Galois modules in Dedekind rings. Decomposability”, Algebra i Analiz, 11:6 (1999),  103–121  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:6 (2000), 1019–1033
34. K. Lai, S. V. Vostokov, “Explicit pairing and class field theory of multidimensional complete fields”, Algebra i Analiz, 11:4 (1999),  95–114  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:4 (2000), 611–624
35. M. V. Bondarko, S. V. Vostokov, “Decomposability of ideals as Galois modules in complete discrete valuation fields”, Algebra i Analiz, 11:2 (1999),  41–63  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:1 (2000), 233–249
36. S. V. Vostokov, I. B. Zhukov, G. K. Pak, “Extensions with almost maximal depth of ramification”, Zap. Nauchn. Sem. POMI, 265 (1999),  77–109  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 112:3 (2002), 4285–4302
1998
37. B. Bekker, M. V. Bondarko, S. Vostokov, “Shafarevich bases in topological $K$-groups”, Algebra i Analiz, 10:2 (1998),  63–80  mathnet  mathscinet  zmath; St. Petersburg Math. J., 10:2 (1999), 269–282
1997
38. M. V. Bondarko, S. V. Vostokov, I. B. Zhukov, “Additive Galois modules in complete discrete valuation fields”, Algebra i Analiz, 9:4 (1997),  28–46  mathnet  mathscinet  zmath; St. Petersburg Math. J., 9:4 (1998), 675–693
39. S. V. Vostokov, P. M. Vinnik, “The numbers of representations of elements of $GF(p)$ as sums of $l$th degrees”, Zap. Nauchn. Sem. POMI, 236 (1997),  68–72  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 95:2 (1999), 2085–2087
40. M. V. Bondarko, S. V. Vostokov, “A decomposition of ideals in an Abelian $p$-extension of complete discretely valuated fields.”, Zap. Nauchn. Sem. POMI, 236 (1997),  23–33  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 95:2 (1999), 2058–2064
1995
41. S. V. Vostokov, “Hilbert pairing on a complete high-dimensional field”, Trudy Mat. Inst. Steklov., 208 (1995),  80–92  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 208 (1995), 72–83
42. S. V. Vostokov, A. N. Gurevich, “A relationship between the Hilbert and Witt symbols”, Zap. Nauchn. Sem. POMI, 227 (1995),  45–51  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:2 (1998), 1108–1112
43. S. V. Vostokov, O. V. Demchenko, “An explicit form of the Hilbert pairing for the relative formal Lubin–Tate groups”, Zap. Nauchn. Sem. POMI, 227 (1995),  41–44  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:2 (1998), 1105–1107
1992
44. B. M. Bekker, D. G. Benois, S. V. Vostokov, I. B. Zhukov, A. L. Smirnov, I. B. Fesenko, “The seminar “Constructive Class Field Theory””, Algebra i Analiz, 4:1 (1992),  177–193  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:1 (1993), 175–192
1991
45. S. V. Vostokov, R. P. Mokrinskaya, “Galois modules in multidimensional local field”, Zap. Nauchn. Sem. LOMI, 198 (1991),  5–14  mathnet  mathscinet  zmath; J. Soviet Math., 64:1 (1993), 705–712
46. D. G. Benois, S. V. Vostokov, “Arithmetic of group of points of formal group”, Zap. Nauchn. Sem. LOMI, 191 (1991),  9–23  mathnet  mathscinet  zmath; J. Soviet Math., 63:6 (1993), 612–621
1990
47. D. G. Benois, S. V. Vostokov, “Norm pairing in formal groups and Galois representations”, Algebra i Analiz, 2:6 (1990),  69–97  mathnet  mathscinet  zmath; Leningrad Math. J., 2:6 (1991), 1221–1249
48. S. V. Vostokov, I. B. Zhukov, I. B. Fesenko, “On the theory of multidimensional local fields. Methods and constructions”, Algebra i Analiz, 2:4 (1990),  91–118  mathnet  mathscinet  zmath; Leningrad Math. J., 2:4 (1991), 775–800
49. S. V. Vostokov, “An elementary abelian $p$-extension of a multidimensional local field”, Trudy Mat. Inst. Steklov., 183 (1990),  50–60  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 183 (1991), 53–64
1989
50. S. V. Vostokov, “On the norm property of the Gilbert's pairing”, Zap. Nauchn. Sem. LOMI, 175 (1989),  30–45  mathnet  mathscinet  zmath; J. Soviet Math., 57:6 (1991), 3462–3473
1988
51. S. V. Vostokov, I. B. Fesenko, “A certain property of the Hilbert pairing”, Mat. Zametki, 43:3 (1988),  393–400  mathnet  mathscinet  zmath; Math. Notes, 43:3 (1988), 226–230  isi
1987
52. S. V. Vostokov, “Lutz filtration as Galois module in an extension without higher ramification”, Zap. Nauchn. Sem. LOMI, 160 (1987),  182–192  mathnet  zmath
1985
53. S. V. Vostokov, “Explicit construction of class field theory for a multidimensional local field”, Izv. Akad. Nauk SSSR Ser. Mat., 49:2 (1985),  283–308  mathnet  mathscinet  zmath; Math. USSR-Izv., 26:2 (1986), 263–287
1984
54. S. V. Vostokov, “On the theory of class fields of a multidimensional local field”, Dokl. Akad. Nauk SSSR, 274:4 (1984),  780–782  mathnet  mathscinet  zmath
1983
55. S. V. Vostokov, I. B. Fesenko, “Hilbert symbol for Lubin–Tate formal groups. II”, Zap. Nauchn. Sem. LOMI, 132 (1983),  85–96  mathnet  mathscinet
56. S. V. Vostokov, A. N. Kirillov, “Horm pairing in the two-dimensional local field”, Zap. Nauchn. Sem. LOMI, 132 (1983),  76–84  mathnet  mathscinet  zmath
1982
57. S. V. Vostokov, “The Hilbert symbol for Lubin–Tate formal groups. I”, Zap. Nauchn. Sem. LOMI, 114 (1982),  77–95  mathnet  mathscinet  zmath; J. Soviet Math., 27:4 (1984), 2885–2901
1981
58. S. V. Vostokov, “Symbols on formal groups”, Izv. Akad. Nauk SSSR Ser. Mat., 45:5 (1981),  985–1014  mathnet  mathscinet  zmath; Math. USSR-Izv., 19:2 (1982), 261–284
1980
59. S. V. Vostokov, V. A. Letsko, “The Hilbert symbol in an extension of the 2-adic field”, Zap. Nauchn. Sem. LOMI, 103 (1980),  58–61  mathnet  mathscinet  zmath; J. Soviet Math., 24:4 (1984), 423–426
60. S. V. Vostokov, V. A. Letsko, “The canonical decomposition in the group of points of a formal group”, Zap. Nauchn. Sem. LOMI, 103 (1980),  52–57  mathnet  mathscinet  zmath; J. Soviet Math., 24:4 (1984), 419–423
1979
61. S. V. Vostokov, “A norm pairing in formal modules”, Izv. Akad. Nauk SSSR Ser. Mat., 43:4 (1979),  765–794  mathnet  mathscinet  zmath; Math. USSR-Izv., 15:1 (1980), 25–51  isi
62. S. V. Vostokov, “Hilbert symbol in a discrete valuated field”, Zap. Nauchn. Sem. LOMI, 94 (1979),  50–69  mathnet  mathscinet  zmath; J. Soviet Math., 19:1 (1982), 1006–1019
1978
63. S. V. Vostokov, “An explicit pairing formula in formal modules”, Dokl. Akad. Nauk SSSR, 241:2 (1978),  275–278  mathnet  mathscinet  zmath
64. S. V. Vostokov, “On an explicit form of the reciprocity law”, Dokl. Akad. Nauk SSSR, 238:6 (1978),  1276–1278  mathnet  mathscinet  zmath
65. S. V. Vostokov, “Explicit form of the law of reciprocity”, Izv. Akad. Nauk SSSR Ser. Mat., 42:6 (1978),  1288–1321  mathnet  mathscinet  zmath; Math. USSR-Izv., 13:3 (1979), 557–588  isi
66. S. V. Vostokov, “The reciprocity law in an algebraic number field”, Trudy Mat. Inst. Steklov., 148 (1978),  77–81  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 148 (1980), 75–79
67. S. V. Vostokov, “The second factor in the reciprocity law”, Zap. Nauchn. Sem. LOMI, 75 (1978),  59–66  mathnet  mathscinet  zmath; J. Soviet Math., 37:2 (1987), 953–958
1977
68. S. V. Vostokov, “The ring of integers in an abelian extention of an algebraic number field as a Galois module”, Zap. Nauchn. Sem. LOMI, 71 (1977),  80–84  mathnet  mathscinet  zmath; J. Soviet Math., 20:6 (1982), 2556–2559
1976
69. S. V. Vostokov, “Normal basis for an ideal in a local ring”, Zap. Nauchn. Sem. LOMI, 64 (1976),  64–68  mathnet  mathscinet  zmath; J. Soviet Math., 17:2 (1981), 1755–1758
70. S. V. Vostokov, “Ideals of an abelian $p$-extension of local fields as Galois modules”, Zap. Nauchn. Sem. LOMI, 57 (1976),  64–84  mathnet  mathscinet  zmath; J. Soviet Math., 11:4 (1979), 567–584
1974
71. S. V. Vostokov, “Ideals of the abelian irregular $p$-extensien of local field as Galois modules”, Zap. Nauchn. Sem. LOMI, 46 (1974),  14–35  mathnet  mathscinet  zmath
1973
72. S. V. Vostokov, “An orthogonal basis of a local field”, Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973),  1228–1240  mathnet  mathscinet  zmath; Math. USSR-Izv., 7:6 (1973), 1225–1237
73. Z. I. Borevich, S. V. Vostokov, “Ring of integers in an extension of prime degree of a local field as the Galois module”, Zap. Nauchn. Sem. LOMI, 31 (1973),  24–37  mathnet  mathscinet  zmath

2013
74. 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, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, Uspekhi Mat. Nauk, 68:1(409) (2013),  201–207  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 68:1 (2013), 189–197  isi  elib
2008
75. S. V. Vostokov, I. R. Shafarevich, “Harmony in algebra (on the centenary of the birth of Dmitriĭ Konstantinovich Faddeev, Corresponding Member of the Academy of Sciences of the USSR)”, Vladikavkaz. Mat. Zh., 10:1 (2008),  3–9  mathnet  mathscinet
2007
76. A. M. Vershik, S. V. Vostokov, “Celebration of Leonhard Euler's 300th birthday”, Uspekhi Mat. Nauk, 62:4(376) (2007),  186–189  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:4 (2007), 837–840  isi
2000
77. 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, “Anatolii Vladimirovich Yakovlev”, Zap. Nauchn. Sem. POMI, 272 (2000),  5–13  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 116:1 (2003), 2883–2886

Presentations in Math-Net.Ru
1. Shafarevich Basis of the formal modules of the Lubin–Tate and Honda groups
S. V. Vostokov, R. P. Vostokova
XVI International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history» dedicated to the 80th anniversary of the birth of Professor Michel Desa
May 17, 2019 10:40
2. 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
3. Когомологии формальных модулей над формальными полями
I. I. Nekrasov, S. V. Vostokov
Seminar of the Department of Algebra and Department of Algebraic Geometry (Shafarevich Seminar)
November 28, 2017 15:00
4. The law of reciprocity - the history and present state
S. V. Vostokov
Seminar on the History of Mathematics
May 5, 2016 18:00   
5. 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   
6. John Tate, a new Abel Prize laureate
M. I. Bashmakov, S. V. Vostokov
Meetings of the St. Petersburg Mathematical Society
April 6, 2010
7. Эйлер и закон взаимности
S. V. Vostokov
Meetings of the St. Petersburg Mathematical Society
May 16, 2007
8. Обобщение классической функции Артина–Хассе
S. V. Vostokov
Seminar by Algebra Department
November 16, 2004

Organisations
 
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