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Vostokov, Sergeĭ Vladimirovich

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Author ID: vostokov.sergei-vladimirovich Recent zbMATH articles by "Vostokov, Sergeĭ Vladimirovich"
Published as: Vostokov, S. V.; Vostokov, Sergeĭ Vladimirovich; Vostokov, S.; Vostokov, Sergei V.; Vostokov, Sergeĭ V.; Vostokov, Sergei Vladimirovich; Vostokov, Sergey Vladimirovich; Vostokov, Sergei; Vostokov, Sergey V.; Vostokov, Sergey
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 150 Publications since 1973, including 3 Books
Biographic References: 4 Publications
all top 5

Co-Authors

45 single-authored
16 Bondarko, Mikhail Vladimirovich
14 Zhukov, Igor’ Borisovich
11 Fesenko, Ivan Borisovich
9 Benois, D. G.
6 Vostokova, Regina Petrovna
5 Afanas’eva, Sof’ya Sergeevna
5 Bekker, Boris Mikhaĭlovich
5 Pak, G. K.
5 Volkov, Vladislav Vladimirovich
4 Demchenko, O. V.
4 Ivanova, Ol’ga Yur’evna
4 Letsko, V. A.
4 Nekrasov, Ilia I.
4 Pital’, Petr Nikolaevich
3 Ivanov, Michael A.
3 Lai, King Fai
3 Lorenz, Falko
3 Vinnik, P. M.
2 Borevich, Zenon Ivanovich
2 Generalov, Aleksandr Ivanovich
2 Gordeev, Nikolai L.
2 Hakobyan, Tigran L.
2 Ikonnikova, Elena Valer’evna
2 Kirillov, Anatol N.
2 Klimovitskii, I. L.
2 Lur’e, Boris Beniaminovich
2 Matiyasevich, Yuriĭ Vladimirovich
2 Merkur’ev, Aleksandr Sergeevich
2 Nesterenko, Yuriĭ Valentinovich
2 Panin, Ivan A.
2 Shafarevich, Igor’ Rostislavovich
2 Suslin, Andreĭ Aleksandrovich
2 Vavilov, Nikolaĭ Aleksandrovich
2 Zarkhin, Yuriĭ Gennad’evich
1 Belyaeva, T. B.
1 Bernik, Vasiliĭ Ivanovich
1 Bezzateev, Sergei Valentinovich
1 Budanaev, Ivan A.
1 Chirskiĭ, Vladimir Grigor’evich
1 Chubarikov, Vladimir Nikolaevich
1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich
1 Dobrovol’skiĭ, Nikolai Nikolaevich
1 Dybkova, E. V.
1 Elizarov, Nikita Vyacheslavovich
1 Ferens-Sorotskiy, E. V.
1 Gorchinskiĭ, Sergeĭ Olegovich
1 Gorshkov, Andreĭ Aleksandrovich
1 Gurevich, A. N.
1 Haustov, N. V.
1 Ishkanov, V. V.
1 Laurinčikas, Antanas
1 Leonov, Gennadiĭ Alekseevich
1 Leonova, E. O.
1 Madunts, Aleksandra Igor’evna
1 Minchev, Kh. P.
1 Mokrinskaya, R. P.
1 Orlov, Dmitri O.
1 Orlova, K. Yu.
1 Osipov, Denis Vasil’evich
1 Pachev, Urusbi Mukhamedovich
1 Perlis, Robert
1 Podkopaeva, O. Yu.
1 Podsypanin, Fëdor Vladimirovich
1 Popov, Vladimir Leonidovich
1 Rebrova, Irina Yur’evna
1 Semenov, Alexey A.
1 Sergeev, Armen Glebovich
1 Shashkov, Timofeĭ Yur’evich
1 Shirokov, Boris Mikhaĭlovich
1 Skopin, A. I.
1 Smirnov, Aleksandr Leonidovich
1 Tsybyshev, A. E.
1 Valtman, Vitaly
1 Vershik, Anatoliĭ Moiseevich
1 Vlaskina, N. K.
1 Vlassiev, S. M.
1 Vostokova, E. S.
1 Vsemirnov, M. A.
1 Yoon, Seokho
1 Zheglov, Alexander B.
1 Zhuravlev, Vladimir Georgievich
1 Zinov’ev, A. N.

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 391 times in 202 Documents Cited by Year
Local fields and their extensions. 2nd ed. Zbl 1156.11046
Fesenko, I. B.; Vostokov, S. V.
96
2002
Local fields and their extensions: a constructive approach. Translated from an original Russian manuscript by Ivan B. Fesenko; translation edited by Simeon Ivanov. Zbl 0781.11042
Fesenko, Ivan B.; Vostokov, S. V.
23
1993
Explicit form of the law of reciprocity. Zbl 0467.12018
Vostokov, S. V.
19
1979
Eine explizite Form des Reziprozitätsgesetzes. Zbl 0408.12002
Vostokov, S. V.
14
1978
Symbols on formal groups. Zbl 0483.14011
Vostokov, S. V.
10
1981
An explicit formula of the Hilbert pairing for Honda formal groups. Zbl 1101.14323
Vostokov, S. V.; Demchenko, O. V.
10
2000
A norm pairing in formal modules. Zbl 0463.12008
Vostokov, S. V.
10
1980
An explicit classification of formal groups over local fields. Zbl 1125.11357
Bondarko, M. V.; Vostokov, S. V.
9
2003
The Hilbert symbol in a complete multidimensional field. I. Zbl 1118.11050
Belyaeva, T. B.; Vostokov, S. V.
8
2001
Explicit construction of class field theory for a multidimensional local field. Zbl 0608.12017
Vostokov, S. V.
8
1986
Honda groups and explicit pairings on the modules of Cartier curves. Zbl 1025.11037
Lorenz, Falko; Vostokov, Sergei
7
2002
On torsion in higher Milnor functors for multidimensional local fields. Zbl 0796.11053
Vostokov, S. V.; Fesenko, I. B.
6
1986
The ring of integral elements of an extension of prime degree of a local field as a Galois module. Zbl 0329.12021
Borevich, Z. I.; Vostokov, S. V.
6
1973
On an explicit form of the reciprocity law. Zbl 0393.12001
Vostokov, S. V.
6
1978
Hilbert symbol in a discrete valuated field. Zbl 0486.12007
Vostokov, S. V.
6
1982
An explicit form of the Hilbert pairing for the relative formal Lubin-Tate groups. Zbl 1156.11344
Vostokov, S. V.; Demchenko, O. V.
5
1995
Additive Galois modules in complete discrete valuation fields. Zbl 0902.11050
Bondarko, M. V.; Vostokov, S. V.; Zhukov, I. B.
5
1997
Norm series for Lubin-Tate formal groups. Zbl 1116.14312
Perlis, R.; Vostokov, S. V.
5
2001
Explicit formulas for the Hilbert symbol. Zbl 1008.11053
Vostokov, Sergei V.
5
2000
Primary elements in formal modules. Zbl 1318.11156
Vostokov, S. V.; Klimovitskii, I. L.
5
2013
On the law of reciprocity in an algebraic number field. Zbl 0464.12007
Vostokov, S. V.
5
1978
Elliptic curves and formal groups. Zbl 0929.14028
Vostokov, S. V.; Fesenko, I. B.
4
1993
Hilbert pairing on a complete high-dimensional field. Zbl 0895.11050
Vostokov, S. V.
4
1995
An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field. Zbl 1055.11073
Vostokov, S. V.; Lorenz, F.
4
2003
The norm pairing in formal groups, and Galois representations. Zbl 0743.11064
Benois, D. G.; Vostokov, S. V.
4
1990
The Lubin-Tate formal module in a cyclic unramified \(p\)-extension as a Galois module. Zbl 1369.11081
Vostokov, Sergeĭ V.; Nekrasov, I. I.
4
2016
A certain property of the Hilbert pairing. Zbl 0692.14030
Vostokov, S. V.; Fesenko, I. B.
4
1988
On the theory of multidimensional local fields. Methods and constructions. Zbl 0721.11054
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B.
4
1990
The Hilbert pairing for formal groups over \(\sigma\)-rings. Zbl 1105.14061
Bondarko, M. V.; Vostokov, S. V.; Lorenz, F.
3
2004
Ideals of an Abelian p-extension of a local field as Galois modules. Zbl 0403.12017
Vostokov, S. V.
3
1979
Shafarevich’s paper “A general reciprocity law”. Zbl 1283.11160
Vostokov, S. V.
3
2013
The Hilbert symbol for Lubin-Tate formal groups. Zbl 0497.14019
Vostokov, S. V.
3
1982
Symbols on formal groups. Zbl 0501.14027
Vostokov, S. V.
3
1982
The Hilbert symbol of polynomial formal groups. Zbl 1302.11094
Vostokov, S. V.; Volkov, V. V.; Pak, G. K.
3
2013
The Kneser relation and the Hilbert pairing in multidimensional local field. Zbl 1157.11045
Lai, K. F.; Vostokov, S. V.
3
2007
The Hilbert symbol in a discrete valuated field. Zbl 0442.12022
Vostokov, S. V.
3
1979
The Hilbert symbol for Lubin-Tate formal groups. I. Zbl 0563.14022
Vostokov, S. V.
3
1984
The Hilbert symbol for Lubin-Tate formal groups. II. Zbl 0574.12016
Vostokov, S. V.; Fesenko, I. B.
3
1985
A relationship between the Hilbert and Witt symbols. Zbl 1156.11345
Vostokov, S. V.; Gurevich, A. N.
2
1995
Some approaches to the construction of abelian extensions for \(p\)-adic fields. Zbl 0853.11095
Vostokov, S. V.; Zhukov, I. B.
2
1995
Extensions with almost maximal depth of ramification. Zbl 1343.11088
Vostokov, S. V.; Zhukov, I. B.; Pak, G. K.
2
2002
Additive Galois modules in Dedekind rings. Decomposability. Zbl 0973.11098
Bondarko, M. V.; Vostokov, S. V.
2
2000
Ideale einer abelschen p-Erweiterung eines lokalen Körpers als Galoisschen Moduln. Zbl 0355.12012
Vostokov, S. V.
2
1976
Ideals of an abelian p-extension of an irregular local field as Galois modules. Zbl 0396.12016
Vostokov, S. V.
2
1978
Normed pairing in formal groups and Galois representations. Zbl 0724.11059
Benois, D. G.; Vostokov, S. V.
2
1990
On the theory of higher-dimensional local fields. Methods and constructions. Zbl 0732.11066
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B.
2
1991
The arithmetic of the group of points of a formal group. Zbl 0752.11053
Benois, D. G.; Vostokov, S. V.
2
1991
Canonical decomposition in the group of points of a formal Lubin-Tate group. Zbl 0536.14030
Vostokov, S. V.; Letsko, V. A.
2
1984
The canonical Hensel-Shafarevich basis in complete discrete valuation fields. Zbl 1300.12009
Vostokov, S. V.
2
2013
Lutz filtration as a Galois module. Zbl 1369.11084
Vostokov, Sergei; Nekrasov, I.; Vostokova, R.
2
2016
An explicit form of the Hilbert symbol for polynomial formal groups over a multidimensional local field. I. Zbl 1369.11082
Vostokov, Sergeĭ V.; Volkov, V. V.; Bondarko, M. V.
2
2016
An explicit pairing formula in formal modules. Zbl 0436.12012
Vostokov, S. V.
2
1978
Normal basis for an ideal in a local ring. Zbl 0462.12004
Vostokov, S. V.
2
1981
Norm pairing in a two-dimensional local field. Zbl 0566.12006
Vostokov, S. V.; Kirillov, A. N.
2
1985
On torsion theories, weight and \(t\)-structures in triangulated categories. Zbl 1429.18005
Bondarko, M. V.; Vostokov, S. V.
2
2019
Decomposition of ideals in abelian \(p\)-extensions of complete discrete valuation fields. Zbl 0949.11059
Bondarko, M. V.; Vostokov, S. V.
1
1997
The pairing on \(K\)-groups in fields of valuation of rank \(n\). Zbl 0873.11064
Vostokov, S. V.
1
1995
Artin-Hasse exponentials and Bernoulli numbers. Zbl 0894.11044
Vostokov, S. V.
1
1995
Some approaches to the construction of abelian extension for \(p\)-adic fields. Zbl 0912.11048
Vostokov, S. V.; Zhukov, I. B.
1
1995
Decomposability of ideals in splitting \(p\)-extensions of local fields. Zbl 0841.11059
Vostokov, S. V.
1
1993
\(K\)-group pairing of multidimensional complete fields. Zbl 0853.11097
Vostokov, S. V.
1
1995
On \(p\)-extensions of multidimensional local fields. Zbl 0794.11043
Benois, D. G.; Vostokov, S. V.
1
1993
Galois representations in Honda’s formal groups. Arithmetic of the group of points. Zbl 0817.11053
Benois, D. G.; Vostokov, S. V.
1
1994
Extensions with almost maximal depth of ramification. Zbl 1039.11084
Vostokov, S. V.; Zhukov, I. B.; Pak, G. K.
1
1999
On \(p\)-adic representations of multidimensional local fields attached to formal groups. (Sur les représentations \(p\)-adiques des corps locaux multidimensionnels attachés aux groupes formels.) Zbl 0763.11045
Benois, D. G.; Vostokov, S. V.
1
1993
Decomposability of ideals as Galois modules in complete discrete valuation fields. Zbl 0964.11054
Bondarko, M. V.; Vostokov, S. V.
1
1999
Ideale einer abelschen p-Erweiterung eines irregulären lokalen Körpers als Galoissche Moduln. Zbl 0345.12009
Vostokov, S. V.
1
1974
Shafarevich bases in topological \(K\)-groups. Zbl 0916.11060
Bekker, B.; Bondarko, M.; Vostokov, S.
1
1998
Hilbert pairing for the polynomial formal groups. Zbl 1331.11105
Vostokov, S. V.; Ferens-Sorotskiy, E. V.
1
2010
Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification. Zbl 1127.14042
Vostokov, S. V.; Zinoviev, A. N.
1
2006
Generalised Kawada-Satake method for Mackey functors in class field theory. Zbl 1426.19004
Fesenko, Ivan B.; Vostokov, Sergei V.; Yoon, Seok Ho
1
2018
On the Seminar “Constructive class field theory”. Zbl 0806.11003
Bekker, B. M.; Benois, D. G.; Vostokov, S. V.; Zhukov, I. B.; Smirnov, A. L.; Fesenko, I. B.
1
1992
Regular formal modules in one-dimensional local fields. Zbl 1409.11105
Vlassiev, S. M.; Vostokov, S. V.; Gorshkov, A. A.
1
2016
The ring of integers of an abelian extension of an algebraic number field as a Galois module. Zbl 0497.12007
Vostokov, S. V.
1
1982
Isomorphism of ideals regarded as Galois modules of complete discrete valuation fields with residue field of positive characteristic. Zbl 1247.11145
Bondarko, M. V.; Vostokov, S. V.
1
2000
On a paper of Hasse concerning the Eisenstein reciprocity law. Zbl 1239.11117
Vostokov, S. V.; Ivanov, M. A.; Pak, G. K.
1
2009
The Hilbert symbol in higher-dimensional local fields for formal Lubin-Tate groups. Zbl 1302.11093
Afanas’eva, S. S.; Bekker, B. M.; Vostokov, S. V.
1
2013
Explicit form of the Hilbert symbol for polynomial formal groups. Zbl 1369.11083
Vostokov, Sergei Vladimirovich; Volkov, Vladislav Vladimirovich
1
2015
The skew-symmetric pairing on the Lubin-Tate formal module. Zbl 1388.11079
Ivanov, M. A.; Vostokov, S. V.
1
2015
Pairings in local fields and cryptography. Zbl 1369.11080
Vostokov, S. V.; Vostokova, E. S.
1
2015
Norm series in high-dimensional local fields. Zbl 1140.11351
Vostokov, S. V.; Pak, G. K.
1
2005
The canonical decomposition in the group of points of the formal Lubin- Tate group. Zbl 0475.14035
Vostokov, S. V.; Letsko, V. A.
1
1980
The classical reciprocity law for power residues as an analog of the abelian integral theorem. Zbl 1206.11137
Vostokov, S. V.
1
2009
Degeneration of the Hilbert pairing in formal groups over local fields. Zbl 1401.11152
Vostokov, S. V.; Vostokova, R. P.; Podkopaeva, O. Yu.
1
2016
Hilbert pairing on Lorentz formal groups. Zbl 1427.11132
Vostokov, S. V.; Pital’, P. N.
1
2017
On two approaches to classification of higher local fields. Zbl 1448.11207
Ivanova, Ol’ga Yur’evna; Vostokov, Sergeĭ Vladimirovich; Zhukov, Igor’ Borisovich
1
2019
On torsion theories, weight and \(t\)-structures in triangulated categories. Zbl 1429.18005
Bondarko, M. V.; Vostokov, S. V.
2
2019
On two approaches to classification of higher local fields. Zbl 1448.11207
Ivanova, Ol’ga Yur’evna; Vostokov, Sergeĭ Vladimirovich; Zhukov, Igor’ Borisovich
1
2019
Generalised Kawada-Satake method for Mackey functors in class field theory. Zbl 1426.19004
Fesenko, Ivan B.; Vostokov, Sergei V.; Yoon, Seok Ho
1
2018
Hilbert pairing on Lorentz formal groups. Zbl 1427.11132
Vostokov, S. V.; Pital’, P. N.
1
2017
The Lubin-Tate formal module in a cyclic unramified \(p\)-extension as a Galois module. Zbl 1369.11081
Vostokov, Sergeĭ V.; Nekrasov, I. I.
4
2016
Lutz filtration as a Galois module. Zbl 1369.11084
Vostokov, Sergei; Nekrasov, I.; Vostokova, R.
2
2016
An explicit form of the Hilbert symbol for polynomial formal groups over a multidimensional local field. I. Zbl 1369.11082
Vostokov, Sergeĭ V.; Volkov, V. V.; Bondarko, M. V.
2
2016
Regular formal modules in one-dimensional local fields. Zbl 1409.11105
Vlassiev, S. M.; Vostokov, S. V.; Gorshkov, A. A.
1
2016
Degeneration of the Hilbert pairing in formal groups over local fields. Zbl 1401.11152
Vostokov, S. V.; Vostokova, R. P.; Podkopaeva, O. Yu.
1
2016
Explicit form of the Hilbert symbol for polynomial formal groups. Zbl 1369.11083
Vostokov, Sergei Vladimirovich; Volkov, Vladislav Vladimirovich
1
2015
The skew-symmetric pairing on the Lubin-Tate formal module. Zbl 1388.11079
Ivanov, M. A.; Vostokov, S. V.
1
2015
Pairings in local fields and cryptography. Zbl 1369.11080
Vostokov, S. V.; Vostokova, E. S.
1
2015
Primary elements in formal modules. Zbl 1318.11156
Vostokov, S. V.; Klimovitskii, I. L.
5
2013
Shafarevich’s paper “A general reciprocity law”. Zbl 1283.11160
Vostokov, S. V.
3
2013
The Hilbert symbol of polynomial formal groups. Zbl 1302.11094
Vostokov, S. V.; Volkov, V. V.; Pak, G. K.
3
2013
The canonical Hensel-Shafarevich basis in complete discrete valuation fields. Zbl 1300.12009
Vostokov, S. V.
2
2013
The Hilbert symbol in higher-dimensional local fields for formal Lubin-Tate groups. Zbl 1302.11093
Afanas’eva, S. S.; Bekker, B. M.; Vostokov, S. V.
1
2013
Hilbert pairing for the polynomial formal groups. Zbl 1331.11105
Vostokov, S. V.; Ferens-Sorotskiy, E. V.
1
2010
On a paper of Hasse concerning the Eisenstein reciprocity law. Zbl 1239.11117
Vostokov, S. V.; Ivanov, M. A.; Pak, G. K.
1
2009
The classical reciprocity law for power residues as an analog of the abelian integral theorem. Zbl 1206.11137
Vostokov, S. V.
1
2009
The Kneser relation and the Hilbert pairing in multidimensional local field. Zbl 1157.11045
Lai, K. F.; Vostokov, S. V.
3
2007
Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification. Zbl 1127.14042
Vostokov, S. V.; Zinoviev, A. N.
1
2006
Norm series in high-dimensional local fields. Zbl 1140.11351
Vostokov, S. V.; Pak, G. K.
1
2005
The Hilbert pairing for formal groups over \(\sigma\)-rings. Zbl 1105.14061
Bondarko, M. V.; Vostokov, S. V.; Lorenz, F.
3
2004
An explicit classification of formal groups over local fields. Zbl 1125.11357
Bondarko, M. V.; Vostokov, S. V.
9
2003
An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field. Zbl 1055.11073
Vostokov, S. V.; Lorenz, F.
4
2003
Local fields and their extensions. 2nd ed. Zbl 1156.11046
Fesenko, I. B.; Vostokov, S. V.
96
2002
Honda groups and explicit pairings on the modules of Cartier curves. Zbl 1025.11037
Lorenz, Falko; Vostokov, Sergei
7
2002
Extensions with almost maximal depth of ramification. Zbl 1343.11088
Vostokov, S. V.; Zhukov, I. B.; Pak, G. K.
2
2002
The Hilbert symbol in a complete multidimensional field. I. Zbl 1118.11050
Belyaeva, T. B.; Vostokov, S. V.
8
2001
Norm series for Lubin-Tate formal groups. Zbl 1116.14312
Perlis, R.; Vostokov, S. V.
5
2001
An explicit formula of the Hilbert pairing for Honda formal groups. Zbl 1101.14323
Vostokov, S. V.; Demchenko, O. V.
10
2000
Explicit formulas for the Hilbert symbol. Zbl 1008.11053
Vostokov, Sergei V.
5
2000
Additive Galois modules in Dedekind rings. Decomposability. Zbl 0973.11098
Bondarko, M. V.; Vostokov, S. V.
2
2000
Isomorphism of ideals regarded as Galois modules of complete discrete valuation fields with residue field of positive characteristic. Zbl 1247.11145
Bondarko, M. V.; Vostokov, S. V.
1
2000
Extensions with almost maximal depth of ramification. Zbl 1039.11084
Vostokov, S. V.; Zhukov, I. B.; Pak, G. K.
1
1999
Decomposability of ideals as Galois modules in complete discrete valuation fields. Zbl 0964.11054
Bondarko, M. V.; Vostokov, S. V.
1
1999
Shafarevich bases in topological \(K\)-groups. Zbl 0916.11060
Bekker, B.; Bondarko, M.; Vostokov, S.
1
1998
Additive Galois modules in complete discrete valuation fields. Zbl 0902.11050
Bondarko, M. V.; Vostokov, S. V.; Zhukov, I. B.
5
1997
Decomposition of ideals in abelian \(p\)-extensions of complete discrete valuation fields. Zbl 0949.11059
Bondarko, M. V.; Vostokov, S. V.
1
1997
An explicit form of the Hilbert pairing for the relative formal Lubin-Tate groups. Zbl 1156.11344
Vostokov, S. V.; Demchenko, O. V.
5
1995
Hilbert pairing on a complete high-dimensional field. Zbl 0895.11050
Vostokov, S. V.
4
1995
A relationship between the Hilbert and Witt symbols. Zbl 1156.11345
Vostokov, S. V.; Gurevich, A. N.
2
1995
Some approaches to the construction of abelian extensions for \(p\)-adic fields. Zbl 0853.11095
Vostokov, S. V.; Zhukov, I. B.
2
1995
The pairing on \(K\)-groups in fields of valuation of rank \(n\). Zbl 0873.11064
Vostokov, S. V.
1
1995
Artin-Hasse exponentials and Bernoulli numbers. Zbl 0894.11044
Vostokov, S. V.
1
1995
Some approaches to the construction of abelian extension for \(p\)-adic fields. Zbl 0912.11048
Vostokov, S. V.; Zhukov, I. B.
1
1995
\(K\)-group pairing of multidimensional complete fields. Zbl 0853.11097
Vostokov, S. V.
1
1995
Galois representations in Honda’s formal groups. Arithmetic of the group of points. Zbl 0817.11053
Benois, D. G.; Vostokov, S. V.
1
1994
Local fields and their extensions: a constructive approach. Translated from an original Russian manuscript by Ivan B. Fesenko; translation edited by Simeon Ivanov. Zbl 0781.11042
Fesenko, Ivan B.; Vostokov, S. V.
23
1993
Elliptic curves and formal groups. Zbl 0929.14028
Vostokov, S. V.; Fesenko, I. B.
4
1993
Decomposability of ideals in splitting \(p\)-extensions of local fields. Zbl 0841.11059
Vostokov, S. V.
1
1993
On \(p\)-extensions of multidimensional local fields. Zbl 0794.11043
Benois, D. G.; Vostokov, S. V.
1
1993
On \(p\)-adic representations of multidimensional local fields attached to formal groups. (Sur les représentations \(p\)-adiques des corps locaux multidimensionnels attachés aux groupes formels.) Zbl 0763.11045
Benois, D. G.; Vostokov, S. V.
1
1993
On the Seminar “Constructive class field theory”. Zbl 0806.11003
Bekker, B. M.; Benois, D. G.; Vostokov, S. V.; Zhukov, I. B.; Smirnov, A. L.; Fesenko, I. B.
1
1992
On the theory of higher-dimensional local fields. Methods and constructions. Zbl 0732.11066
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B.
2
1991
The arithmetic of the group of points of a formal group. Zbl 0752.11053
Benois, D. G.; Vostokov, S. V.
2
1991
The norm pairing in formal groups, and Galois representations. Zbl 0743.11064
Benois, D. G.; Vostokov, S. V.
4
1990
On the theory of multidimensional local fields. Methods and constructions. Zbl 0721.11054
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B.
4
1990
Normed pairing in formal groups and Galois representations. Zbl 0724.11059
Benois, D. G.; Vostokov, S. V.
2
1990
A certain property of the Hilbert pairing. Zbl 0692.14030
Vostokov, S. V.; Fesenko, I. B.
4
1988
Explicit construction of class field theory for a multidimensional local field. Zbl 0608.12017
Vostokov, S. V.
8
1986
On torsion in higher Milnor functors for multidimensional local fields. Zbl 0796.11053
Vostokov, S. V.; Fesenko, I. B.
6
1986
The Hilbert symbol for Lubin-Tate formal groups. II. Zbl 0574.12016
Vostokov, S. V.; Fesenko, I. B.
3
1985
Norm pairing in a two-dimensional local field. Zbl 0566.12006
Vostokov, S. V.; Kirillov, A. N.
2
1985
The Hilbert symbol for Lubin-Tate formal groups. I. Zbl 0563.14022
Vostokov, S. V.
3
1984
Canonical decomposition in the group of points of a formal Lubin-Tate group. Zbl 0536.14030
Vostokov, S. V.; Letsko, V. A.
2
1984
Hilbert symbol in a discrete valuated field. Zbl 0486.12007
Vostokov, S. V.
6
1982
The Hilbert symbol for Lubin-Tate formal groups. Zbl 0497.14019
Vostokov, S. V.
3
1982
Symbols on formal groups. Zbl 0501.14027
Vostokov, S. V.
3
1982
The ring of integers of an abelian extension of an algebraic number field as a Galois module. Zbl 0497.12007
Vostokov, S. V.
1
1982
Symbols on formal groups. Zbl 0483.14011
Vostokov, S. V.
10
1981
Normal basis for an ideal in a local ring. Zbl 0462.12004
Vostokov, S. V.
2
1981
A norm pairing in formal modules. Zbl 0463.12008
Vostokov, S. V.
10
1980
The canonical decomposition in the group of points of the formal Lubin- Tate group. Zbl 0475.14035
Vostokov, S. V.; Letsko, V. A.
1
1980
Explicit form of the law of reciprocity. Zbl 0467.12018
Vostokov, S. V.
19
1979
Ideals of an Abelian p-extension of a local field as Galois modules. Zbl 0403.12017
Vostokov, S. V.
3
1979
The Hilbert symbol in a discrete valuated field. Zbl 0442.12022
Vostokov, S. V.
3
1979
Eine explizite Form des Reziprozitätsgesetzes. Zbl 0408.12002
Vostokov, S. V.
14
1978
On an explicit form of the reciprocity law. Zbl 0393.12001
Vostokov, S. V.
6
1978
On the law of reciprocity in an algebraic number field. Zbl 0464.12007
Vostokov, S. V.
5
1978
Ideals of an abelian p-extension of an irregular local field as Galois modules. Zbl 0396.12016
Vostokov, S. V.
2
1978
An explicit pairing formula in formal modules. Zbl 0436.12012
Vostokov, S. V.
2
1978
Ideale einer abelschen p-Erweiterung eines lokalen Körpers als Galoisschen Moduln. Zbl 0355.12012
Vostokov, S. V.
2
1976
Ideale einer abelschen p-Erweiterung eines irregulären lokalen Körpers als Galoissche Moduln. Zbl 0345.12009
Vostokov, S. V.
1
1974
The ring of integral elements of an extension of prime degree of a local field as a Galois module. Zbl 0329.12021
Borevich, Z. I.; Vostokov, S. V.
6
1973
all top 5

Cited by 162 Authors

47 Vostokov, Sergeĭ Vladimirovich
9 Afanas’eva, Sof’ya Sergeevna
9 Bondarko, Mikhail Vladimirovich
7 Ivanova, Ol’ga Yur’evna
7 Vostokova, Regina Petrovna
6 Elder, Gove Griffith
6 Fesenko, Ivan Borisovich
6 Keating, Kevin
6 Volkov, Vladislav Vladimirovich
6 Zhukov, Igor’ Borisovich
5 Ikonnikova, Elena Valer’evna
5 Madunts, Aleksandra Igor’evna
5 Pital’, Petr Nikolaevich
4 Byott, Nigel P.
4 Monge, Maurizio
4 Nekrasov, Ilia I.
4 Pak, G. K.
3 Bekker, Boris Mikhaĭlovich
3 Chipchakov, Ivan D.
3 Demchenko, O. V.
3 Hiranouchi, Toshiro
3 İkeda, Kâzım İlhan
3 Serbest, Erol
2 Banerjee, Debargha
2 Bell, Robert A.
2 Del Corso, Ilaria
2 Dvornicich, Roberto
2 Ferens-Sorotskiy, E. V.
2 Generalov, Aleksandr Ivanovich
2 Ivanov, Michael A.
2 Johnston, Henri L. A.
2 Karpenko, Nikita Aleksandrovich
2 Kato, Kazuya
2 Lagemann, Thorsten
2 Li, Hua-Chieh
2 Lur’e, Boris Beniaminovich
2 Mendes, Sergio
2 Nguyễn Quôc Thăng
2 Pauli, Sebastian
2 Pisolkar, Supriya
2 Plymen, Roger J.
2 Stasinski, Alexander
2 Tengan, Eduardo
2 Thomas, Lara
2 Vavilov, Nikolaĭ Aleksandrovich
1 Abrashkin, Viktor Aleksandrovich
1 Acciaro, Vincenzo
1 Amano, Fumiya
1 Anglès, Bruno
1 Asakura, Masanori
1 Aubert, Anne-Marie
1 Bauchère, Hugues
1 Benois, D. G.
1 Benois, Denis
1 Biswas, Sazzad Ali
1 Boĭtsov, V. G.
1 Bräunling, Oliver
1 Brown, Jim L.
1 Brussel, Eric S.
1 Cámara, Alberto
1 Carter, James E.
1 Checcoli, Sara
1 Daberkow, Mario
1 de Shalit, Ehud
1 Demchenko, Oleg
1 Destagnol, Kevin
1 Dievskiĭ, A. V.
1 Efrat, Ido
1 Ershov, Yuriĭ Leonidovich
1 Florez, Jorge
1 Fukaya, Takako
1 Gazaki, Evangelia
1 Ghate, Eknath P.
1 Gorchinskiĭ, Sergeĭ Olegovich
1 Gorshkov, Andreĭ Aleksandrovich
1 Greither, Cornelius
1 Gröchenig, Michael
1 Gröger, Detlef
1 Gros, Michel
1 Gurevich, A. N.
1 Hakobyan, Tigran L.
1 Häsä, Jokke
1 Hasmani, Alfeen
1 Haustov, N. V.
1 Hazewinkel, Michiel
1 Hiltner, Lindsey
1 Hooper, Jeffrey J.
1 Hou, Xiang-Dong
1 Hutchinson, Kevin
1 Huynh Van Duc
1 Jean, Sandrine
1 Jenni, Ruth
1 Kirillov, Anatol N.
1 Klimovitskii, I. L.
1 Klüners, Jürgen
1 Kochubeĭ, Anatoliĭ Naumovych
1 Kölcze, Pál
1 Kraft, Angela
1 Kulikov, Viktor Stepanovich
1 Kumar, Manish
...and 62 more Authors
all top 5

Cited in 57 Serials

29 Journal of Mathematical Sciences (New York)
24 Journal of Number Theory
18 St. Petersburg Mathematical Journal
14 Vestnik St. Petersburg University. Mathematics
13 Journal of Soviet Mathematics
13 Journal de Théorie des Nombres de Bordeaux
7 Manuscripta Mathematica
5 Lobachevskii Journal of Mathematics
4 Communications in Algebra
4 Journal of Algebra
4 International Journal of Number Theory
3 Duke Mathematical Journal
3 Journal of Pure and Applied Algebra
3 Transactions of the American Mathematical Society
3 Proceedings of the Steklov Institute of Mathematics
3 European Journal of Mathematics
2 Israel Journal of Mathematics
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Inventiones Mathematicae
2 Proceedings of the American Mathematical Society
2 Proceedings of the Japan Academy. Series A
2 Tokyo Journal of Mathematics
2 Zapiski Nauchnykh Seminarov POMI
2 Representation Theory
2 Chebyshevskiĭ Sbornik
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Advances in Mathematics
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 Journal of Geometry
1 Journal für die Reine und Angewandte Mathematik
1 Kodai Mathematical Journal
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Tohoku Mathematical Journal. Second Series
1 Journal of Symbolic Computation
1 Glasnik Matematički. Serija III
1 Linear Algebra and its Applications
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Geometry
1 Bulletin des Sciences Mathématiques
1 Sbornik: Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Journal of Noncommutative Geometry
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Carpathian Mathematical Publications
1 EMS Surveys in Mathematical Sciences
1 Research in the Mathematical Sciences

Citations by Year

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