Vostokov Sergei Vladimirovich

Publications in Math-Net.Ru

1. Killing Weights from the Perspective of $t$-Structures
   
   Trudy Mat. Inst. Steklova, 320 (2023),  59–70
2. Higher criteria for the regularity of a one-dimensional local field
   
   Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 9:2 (2022),  229–244
3. Lubin–Tate extensions and Carlitz module over a projective line: an explicit connection
   
   Chebyshevskii Sb., 22:2 (2021),  90–103
4. The structure of formal modules as Galois modules in cyclic unramified $p$-extensions
   
   Zap. Nauchn. Sem. POMI, 500 (2021),  37–50
5. Lubin–Tate formal modules over higher local fields
   
   Zap. Nauchn. Sem. POMI, 500 (2021),  30–36
6. Inaba extension of complete field of characteristic $0$
   
   Chebyshevskii Sb., 21:3 (2020),  59–67
7. Schnirelmann's integral and analogy of Cauchy integral theorem for two-dimensional local fields
   
   Chebyshevskii Sb., 21:3 (2020),  39–58
8. The hearts of weight structures are the weakly idempotent complete categories
   
   Chebyshevskii Sb., 21:3 (2020),  29–38
9. The Hensel–Shafarevich canonical basis in Honda formal modules
   
   Chebyshevskii Sb., 21:1 (2020),  368–373
10. Torsion points of generalized Honda formal groups
    
    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:4 (2020),  597–606
11. Regular formal modules in local fields and irregularly degree
    
    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:4 (2020),  588–596
12. Calculations in generalised lubin - Tate theory
    
    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:2 (2020),  210–216
13. Kurihara invariants and elimination of wild ramification
    
    Zap. Nauchn. Sem. POMI, 492 (2020),  25–44
14. Inaba extension of complete field of characteristic $0$
    
    Chebyshevskii Sb., 20:3 (2019),  124–133
15. On two approaches to classification of higher local fields
    
    Chebyshevskii Sb., 20:2 (2019),  186–197
16. Cohomology of Formal Modules over Local Fields
    
    Mat. Zametki, 105:1 (2019),  3–8
17. Number theory and applications in cryptography
    
    Chebyshevskii Sb., 19:3 (2018),  61–73
18. Universal Approach to the Arithmetics of Formal Groups
    
    Mat. Zametki, 104:2 (2018),  183–190
19. Asymmetric ID-based encryption system, using an explicit pairing function of the reciprocity law
    
    Bul. Acad. Ştiinţe Repub. Mold. Mat., 2016, no. 2,  40–44
20. Explicit form of the Hilbert symbol on polynomial formal module for multidimensional local field. II
    
    Zap. Nauchn. Sem. POMI, 443 (2016),  46–60
21. The arithmetic of the Lubin–Tate formal module in a multidimensional complete field
    
    Algebra i Analiz, 26:6 (2014),  1–9
22. Explicit formula for Hilbert pairing on polynomial formal modules
    
    Algebra i Analiz, 26:5 (2014),  125–141
23. Lubin–Tate formal module in a cyclic unramified $p$-extension as Galois module
    
    Zap. Nauchn. Sem. POMI, 430 (2014),  61–66
24. Explicit form of Hilbert symbol for polynomial formal groups over multidimensional local field. I
    
    Zap. Nauchn. Sem. POMI, 430 (2014),  53–60
25. Classification of formal $A$-modules in the case of small ramification
    
    Zap. Nauchn. Sem. POMI, 430 (2014),  5–12
26. Shafarevich's paper “A general reciprocity law”
    
    Mat. Sb., 204:6 (2013),  3–22
27. Primary Elements in Formal Modules
    
    Sovrem. Probl. Mat., 17 (2013),  153–163
28. Cauchy's integral theorem and classical reciprocity law
    
    Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154:2 (2012),  73–82
29. The Hilbert symbol of a polynomial formal group
    
    Zap. Nauchn. Sem. POMI, 400 (2012),  127–132
30. The Hilbert symbol in multi-dimensional local fields for Lubin–Tate formal groups
    
    Zap. Nauchn. Sem. POMI, 400 (2012),  20–49
31. Canonical basis of Hensel–Shafarevich in complete discrete valuation fields
    
    Zap. Nauchn. Sem. POMI, 394 (2011),  174–193
32. Eisenstein's reciprocity law for Lubin–Tate formal groups
    
    Zap. Nauchn. Sem. POMI, 386 (2011),  129–143
33. On a paper by Hasse concerning Eisenstein reciprocity law
    
    Zap. Nauchn. Sem. POMI, 365 (2009),  122–129
34. The classical reciprocity law for power residues as an analog of the Abelian integral theorem
    
    Algebra i Analiz, 20:6 (2008),  108–118
35. 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
36. 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
37. Distinguished isogenies for formal groups in local fields with small ramification
    
    Zap. Nauchn. Sem. POMI, 330 (2006),  93–100
38. Restriction of the scalars for formal groups
    
    Zap. Nauchn. Sem. POMI, 319 (2004),  59–70
39. The Hilbert pairing for formal groups over $\sigma$-rings
    
    Zap. Nauchn. Sem. POMI, 319 (2004),  5–58
40. An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field
    
    Mat. Sb., 194:2 (2003),  3–36
41. An Explicit Classification of Formal Groups over Local Fields
    
    Trudy Mat. Inst. Steklova, 241 (2003),  43–67
42. Norm series in multidimensional local fields
    
    Zap. Nauchn. Sem. POMI, 305 (2003),  60–83
43. Norm series for the Lubin–Tate formal groups
    
    Zap. Nauchn. Sem. POMI, 281 (2001),  105–127
44. Hilbert symbol in a complete multidimensional field for an arbitrary prime number. Part I
    
    Zap. Nauchn. Sem. POMI, 281 (2001),  5–34
45. The explicit formula of the Hilbert symbol for Honda formal groups
    
    Zap. Nauchn. Sem. POMI, 272 (2000),  86–128
46. Additive Galois modules in Dedekind rings. Decomposability
    
    Algebra i Analiz, 11:6 (1999),  103–121
47. Explicit pairing and class field theory of multidimensional complete fields
    
    Algebra i Analiz, 11:4 (1999),  95–114
48. Decomposability of ideals as Galois modules in complete discrete valuation fields
    
    Algebra i Analiz, 11:2 (1999),  41–63
49. Extensions with almost maximal depth of ramification
    
    Zap. Nauchn. Sem. POMI, 265 (1999),  77–109
50. Shafarevich bases in topological $K$-groups
    
    Algebra i Analiz, 10:2 (1998),  63–80
51. Additive Galois modules in complete discrete valuation fields
    
    Algebra i Analiz, 9:4 (1997),  28–46
52. The numbers of representations of elements of $GF(p)$ as sums of $l$th degrees
    
    Zap. Nauchn. Sem. POMI, 236 (1997),  68–72
53. A decomposition of ideals in an Abelian $p$-extension of complete discretely valuated fields.
    
    Zap. Nauchn. Sem. POMI, 236 (1997),  23–33
54. Hilbert pairing on a complete high-dimensional field
    
    Trudy Mat. Inst. Steklov., 208 (1995),  80–92
55. A relationship between the Hilbert and Witt symbols
    
    Zap. Nauchn. Sem. POMI, 227 (1995),  45–51
56. An explicit form of the Hilbert pairing for the relative formal Lubin–Tate groups
    
    Zap. Nauchn. Sem. POMI, 227 (1995),  41–44
57. The seminar “Constructive Class Field Theory”
    
    Algebra i Analiz, 4:1 (1992),  177–193
58. Galois modules in multidimensional local field
    
    Zap. Nauchn. Sem. LOMI, 198 (1991),  5–14
59. Arithmetic of group of points of formal group
    
    Zap. Nauchn. Sem. LOMI, 191 (1991),  9–23
60. Norm pairing in formal groups and Galois representations
    
    Algebra i Analiz, 2:6 (1990),  69–97
61. On the theory of multidimensional local fields. Methods and constructions
    
    Algebra i Analiz, 2:4 (1990),  91–118
62. An elementary abelian $p$-extension of a multidimensional local field
    
    Trudy Mat. Inst. Steklov., 183 (1990),  50–60
63. On the norm property of the Gilbert's pairing
    
    Zap. Nauchn. Sem. LOMI, 175 (1989),  30–45
64. A certain property of the Hilbert pairing
    
    Mat. Zametki, 43:3 (1988),  393–400
65. Lutz filtration as Galois module in an extension without higher ramification
    
    Zap. Nauchn. Sem. LOMI, 160 (1987),  182–192
66. Explicit construction of class field theory for a multidimensional local field
    
    Izv. Akad. Nauk SSSR Ser. Mat., 49:2 (1985),  283–308
67. On the theory of class fields of a multidimensional local field
    
    Dokl. Akad. Nauk SSSR, 274:4 (1984),  780–782
68. Hilbert symbol for Lubin–Tate formal groups. II
    
    Zap. Nauchn. Sem. LOMI, 132 (1983),  85–96
69. Horm pairing in the two-dimensional local field
    
    Zap. Nauchn. Sem. LOMI, 132 (1983),  76–84
70. The Hilbert symbol for Lubin–Tate formal groups. I
    
    Zap. Nauchn. Sem. LOMI, 114 (1982),  77–95
71. Symbols on formal groups
    
    Izv. Akad. Nauk SSSR Ser. Mat., 45:5 (1981),  985–1014
72. The Hilbert symbol in an extension of the 2-adic field
    
    Zap. Nauchn. Sem. LOMI, 103 (1980),  58–61
73. The canonical decomposition in the group of points of a formal group
    
    Zap. Nauchn. Sem. LOMI, 103 (1980),  52–57
74. A norm pairing in formal modules
    
    Izv. Akad. Nauk SSSR Ser. Mat., 43:4 (1979),  765–794
75. Hilbert symbol in a discrete valuated field
    
    Zap. Nauchn. Sem. LOMI, 94 (1979),  50–69
76. An explicit pairing formula in formal modules
    
    Dokl. Akad. Nauk SSSR, 241:2 (1978),  275–278
77. On an explicit form of the reciprocity law
    
    Dokl. Akad. Nauk SSSR, 238:6 (1978),  1276–1278
78. Explicit form of the law of reciprocity
    
    Izv. Akad. Nauk SSSR Ser. Mat., 42:6 (1978),  1288–1321
79. The reciprocity law in an algebraic number field
    
    Trudy Mat. Inst. Steklov., 148 (1978),  77–81
80. The second factor in the reciprocity law
    
    Zap. Nauchn. Sem. LOMI, 75 (1978),  59–66
81. 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
82. Normal basis for an ideal in a local ring
    
    Zap. Nauchn. Sem. LOMI, 64 (1976),  64–68
83. Ideals of an abelian $p$-extension of local fields as Galois modules
    
    Zap. Nauchn. Sem. LOMI, 57 (1976),  64–84
84. Ideals of the abelian irregular $p$-extensien of local field as Galois modules
    
    Zap. Nauchn. Sem. LOMI, 46 (1974),  14–35
85. An orthogonal basis of a local field
    
    Izv. Akad. Nauk SSSR Ser. Mat., 37:6 (1973),  1228–1240
86. 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


87. Alexey Nikolaevich Parshin (obituary)
    
    Uspekhi Mat. Nauk, 78:3(471) (2023),  165–169
88. Anatoly Vladimirovich Yakovlev
    
    Zap. Nauchn. Sem. POMI, 513 (2022),  5–8
89. Evgeny Vladimirovich Podsypanin
    
    Chebyshevskii Sb., 21:4 (2020),  425–426
90. Boris Beniaminovich Lur'e
    
    Chebyshevskii Sb., 21:3 (2020),  6–9
91. 80 anniversary of Professor Anatolii Vladimirovich Yakovlev
    
    Zap. Nauchn. Sem. POMI, 492 (2020),  5–9
92. Aleksei Nikolaevich Parshin (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 68:1(409) (2013),  201–207
93. 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
94. Celebration of Leonhard Euler's 300th birthday
    
    Uspekhi Mat. Nauk, 62:4(376) (2007),  186–189
95. Anatolii Vladimirovich Yakovlev
    
    Zap. Nauchn. Sem. POMI, 272 (2000),  5–13