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Vostokov, Sergeĭ Vladimirovich

Author ID: vostokov.sergei-vladimirovich Recent zbMATH articles by "Vostokov, Sergeĭ Vladimirovich"
Published as: Vostokov, S. V.; Vostokov, Sergeĭ Vladimirovich; Vostokov, Sergei V.; Vostokov, S.; Vostokov, Sergeĭ V.; Vostokov, Sergei; Vostokov, Sergei Vladimirovich; Vostokov, Sergey V.; Vostokov, Sergey
Further Spellings: Востоков Сергей Владимирович
External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef
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Co-Authors

46 single-authored
17 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 Pital’, Petr Nikolaevich
5 Volkov, Vladislav Vladimirovich
4 Demchenko, Oleg Vyacheslavovich
4 Letsko, V. A.
4 Nekrasov, Ilia I.
3 Hakobyan, Tigran L.
3 Ivanov, Michael A.
3 Lai, King Fai
3 Lorenz, Falko
3 Nesterenko, Yuriĭ Valentinovich
3 Panin, Ivan A.
3 Vinnik, P. M.
3 Zarkhin, Yuriĭ Gennad’evich
2 Borevich, Zenon Ivanovich
2 Generalov, Aleksandr Ivanovich
2 Gorchinskiĭ, Sergeĭ Olegovich
2 Gordeev, Nikolai L.
2 Ikonnikova, Elena Valer’evna
2 Ivanova, Ol’ga Yur’evna
2 Kirillov, Anatol N.
2 Klimovitskii, I. L.
2 Leonova, Ekaterina Olegovna
2 Lur’e, Boris Beniaminovich
2 Matiyasevich, Yuriĭ Vladimirovich
2 Merkur’ev, Aleksandr Sergeevich
2 Orlov, Dmitri O.
2 Osipov, Denis Vasil’evich
2 Polyakov, Vladimir Mikhaĭlovich
2 Popov, Vladimir Leonidovich
2 Shafarevich, Igor’ Rostislavovich
2 Smirnov, Aleksandr Leonidovich
2 Suslin, Andreĭ Aleksandrovich
2 Vavilov, Nikolaĭ Aleksandrovich
2 Vershik, Anatoliĭ Moiseevich
2 Zheglov, Alexander B.
1 Belyaeva, T. B.
1 Bernik, Vasiliĭ Ivanovich
1 Bezzateev, Sergei Valentinovich
1 Bogomolov, Fedor Alekseivich
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 Gorshkov, Andreĭ Aleksandrovich
1 Gurevich, A. N.
1 Haustov, N. V.
1 Ishkanov, V. V.
1 Konyagin, Sergeĭ Vladimirovich
1 Kulikov, Viktor Stepanovich
1 Laurinčikas, Antanas
1 Leonov, Gennadiĭ Alekseevich
1 Madunts, Aleksandra Igor’evna
1 Minchev, Kh. P.
1 Mokrinskaya, R. P.
1 Orlova, K. Yu.
1 Pachev, Urusbi Mukhamedovich
1 Perlis, Robert
1 Platonov, Vladimir Petrovich
1 Podkopaeva, O. Yu.
1 Podsypanin, Fëdor Vladimirovich
1 Prokhorov, Yuriĭ Gennad’evich
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 Tsybyshev, Alekseĭ Evgen’evich
1 Valtman, Vitaly
1 Vlaskina, Natal’ya Konstantinovna
1 Vlassiev, S. M.
1 Vostokova, E. S.
1 Vsemirnov, Maxim
1 Yoon, Seokho
1 Zhuravlev, Vladimir Georgievich
1 Zinov’ev, A. N.

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 448 times in 238 Documents Cited by Year
Local fields and their extensions. 2nd ed. Zbl 1156.11046
Fesenko, I. B.; Vostokov, S. V.
120
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.
25
1993
Explicit form of the law of reciprocity. Zbl 0467.12018
Vostokov, S. V.
20
1979
Eine explizite Form des Reziprozitätsgesetzes. Zbl 0408.12002
Vostokov, S. V.
15
1978
Symbols on formal groups. Zbl 0483.14011
Vostokov, S. V.
13
1981
Explicit construction of class field theory for a multidimensional local field. Zbl 0608.12017
Vostokov, S. V.
10
1986
A norm pairing in formal modules. Zbl 0463.12008
Vostokov, S. V.
10
1980
The Hilbert symbol in a complete multidimensional field. I. Zbl 1118.11050
Belyaeva, T. B.; Vostokov, S. V.
9
2001
An explicit formula of the Hilbert pairing for Honda formal groups. Zbl 1101.14323
Vostokov, S. V.; Demchenko, O. V.
9
2000
An explicit classification of formal groups over local fields. Zbl 1125.11357
Bondarko, M. V.; Vostokov, S. V.
9
2003
Honda groups and explicit pairings on the modules of Cartier curves. Zbl 1025.11037
Lorenz, Falko; Vostokov, Sergei
7
2002
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.
7
1973
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.
6
1995
On the 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.
6
1978
On torsion in higher Milnor functors for multidimensional local fields. Zbl 0796.11053
Vostokov, S. V.; Fesenko, I. B.
6
1986
Additive Galois modules in complete discrete valuation fields. Zbl 0902.11050
Bondarko, M. V.; Vostokov, S. V.; Zhukov, I. B.
5
1997
Explicit formulas for the Hilbert symbol. Zbl 1008.11053
Vostokov, Sergei V.
5
2000
An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field. Zbl 1055.11073
Vostokov, S. V.; Lorenz, F.
5
2003
Norm series for Lubin-Tate formal groups. Zbl 1116.14312
Perlis, R.; Vostokov, S. V.
5
2001
On the theory of multidimensional local fields. Methods and constructions. Zbl 0721.11054
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B.
5
1990
Hilbert pairing on a complete high-dimensional field. Zbl 0895.11050
Vostokov, S. V.
5
1995
The Lubin-Tate formal module in a cyclic unramified \(p\)-extension as a Galois module. Zbl 1369.11081
Vostokov, Sergeĭ V.; Nekrasov, I. I.
5
2016
Primary elements in formal modules. Zbl 1318.11156
Vostokov, S. V.; Klimovitskii, I. L.
5
2013
On torsion theories, weight and \(t\)-structures in triangulated categories. Zbl 1429.18005
Bondarko, M. V.; Vostokov, S. V.
5
2019
Elliptic curves and formal groups. Zbl 0929.14028
Vostokov, S. V.; Fesenko, I. B.
4
1993
A certain property of the Hilbert pairing. Zbl 0692.14030
Vostokov, S. V.; Fesenko, I. B.
4
1988
The norm pairing in formal groups, and Galois representations. Zbl 0743.11064
Benois, D. G.; Vostokov, S. V.
4
1990
The Hilbert symbol of polynomial formal groups. Zbl 1302.11094
Vostokov, S. V.; Volkov, V. V.; Pak, G. K.
4
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 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
Some approaches to the construction of abelian extensions for \(p\)-adic fields. Zbl 0853.11095
Vostokov, S. V.; Zhukov, I. B.
3
1995
The Hilbert symbol for Lubin-Tate formal groups. I. Zbl 0563.14022
Vostokov, S. V.
3
1984
Ideale einer abelschen p-Erweiterung eines lokalen Körpers als Galoisschen Moduln. Zbl 0355.12012
Vostokov, S. V.
3
1976
The Hilbert symbol for Lubin-Tate formal groups. II. Zbl 0574.12016
Vostokov, S. V.; Fesenko, I. B.
3
1985
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
The Hilbert symbol in a discrete valuated field. Zbl 0442.12022
Vostokov, S. V.
3
1979
Shafarevich’s paper “A general reciprocity law”. Zbl 1283.11160
Vostokov, S. V.
3
2013
Canonical decomposition in the group of points of a formal Lubin-Tate group. Zbl 0536.14030
Vostokov, S. V.; Letsko, V. A.
2
1984
Additive Galois modules in Dedekind rings. Decomposability. Zbl 0973.11098
Bondarko, M. V.; Vostokov, S. V.
2
2000
Norm pairing in a two-dimensional local field. Zbl 0566.12006
Vostokov, S. V.; Kirillov, A. N.
2
1985
A relationship between the Hilbert and Witt symbols. Zbl 1156.11345
Vostokov, S. V.; Gurevich, A. N.
2
1995
Regular formal modules in one-dimensional local fields. Zbl 1409.11105
Vlassiev, S. M.; Vostokov, S. V.; Gorshkov, A. A.
2
2016
Extensions with almost maximal depth of ramification. Zbl 1039.11084
Vostokov, S. V.; Zhukov, I. B.; Pak, G. K.
2
1999
Extensions with almost maximal depth of ramification. Zbl 1343.11088
Vostokov, S. V.; Zhukov, I. B.; Pak, G. K.
2
2002
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
Some approaches to the construction of abelian extension for \(p\)-adic fields. Zbl 0912.11048
Vostokov, S. V.; Zhukov, I. B.
2
1995
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
Normal basis for an ideal in a local ring. Zbl 0462.12004
Vostokov, S. V.
2
1981
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
Lutz filtration as a Galois module. Zbl 1369.11084
Vostokov, Sergei; Nekrasov, I.; Vostokova, R.
2
2016
Explicit form of the Hilbert symbol for polynomial formal groups. Zbl 1369.11083
Vostokov, Sergei Vladimirovich; Volkov, Vladislav Vladimirovich
2
2015
The canonical Hensel-Shafarevich basis in complete discrete valuation fields. Zbl 1300.12009
Vostokov, S. V.
2
2013
On two approaches to classification of higher local fields. Zbl 1448.11207
Ivanova, Ol’ga Yur’evna; Vostokov, Sergeĭ Vladimirovich; Zhukov, Igor’ Borisovich
2
2019
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
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
The classical reciprocity law for power residues as an analog of the abelian integral theorem. Zbl 1206.11137
Vostokov, S. V.
1
2009
Galois representations in Honda’s formal groups. Arithmetic of the group of points. Zbl 0817.11053
Benois, D. G.; Vostokov, S. V.
1
1994
Decomposition of ideals in abelian \(p\)-extensions of complete discrete valuation fields. Zbl 0949.11059
Bondarko, M. V.; Vostokov, S. V.
1
1997
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
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 a paper of Hasse concerning the Eisenstein reciprocity law. Zbl 1239.11117
Vostokov, S. V.; Ivanov, M. A.; Pak, G. K.
1
2009
Ideale einer abelschen p-Erweiterung eines irregulären lokalen Körpers als Galoissche Moduln. Zbl 0345.12009
Vostokov, S. V.
1
1974
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
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 \(p\)-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
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
On \(p\)-extensions of multidimensional local fields. Zbl 0794.11043
Benois, D. G.; Vostokov, S. V.
1
1993
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
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
Pairings in local fields and cryptography. Zbl 1369.11080
Vostokov, S. V.; Vostokova, E. S.
1
2015
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
The skew-symmetric pairing on the Lubin-Tate formal module. Zbl 1388.11079
Ivanov, M. A.; Vostokov, S. V.
1
2015
Norm series in high-dimensional local fields. Zbl 1140.11351
Vostokov, S. V.; Pak, G. K.
1
2005
Harmony in algebra (on the centenary of the birth of Dmitriĭ Konstantinovich Faddeev, Corresponding Member of the Academy of Sciences of the USSR). Zbl 1324.01025
Vostokov, S. V.; Shafarevich, I. R.
1
2008
Hilbert pairing for the polynomial formal groups. Zbl 1331.11105
Vostokov, S. V.; Ferens-Sorotskiy, E. V.
1
2010
Degree of irregularity and regular formal modules in local fields. Zbl 1462.11110
Vlaskina, N. K.; Vostokov, S. V.; Pital’, P. N.; Tsybyshev, A. E.
1
2020
Calculations in the generalized Lubin-Tate theory. Zbl 1471.11286
Vostokov, S. V.; Leonova, E. O.
1
2020
On weakly negative subcategories, weight structures, and (weakly) approximable triangulated categories. Zbl 1450.18005
Bondarko, M. V.; Vostokov, S. V.
1
2020
Inaba extension of complete field of characteristic 0. Zbl 1457.11164
Vostokov, Sergeĭ Vladimirovich; Zhukov, Igor’ Borisovich; Ivanova, Ol’ga Yur’evna
1
2019
The hearts of weight structures are the weakly idempotent complete categories. Zbl 1473.18006
Bondarko, Mikhail Vladimirovich; Vostokov, Sergeĭ Vladimirovich
1
2020
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
Degree of irregularity and regular formal modules in local fields. Zbl 1462.11110
Vlaskina, N. K.; Vostokov, S. V.; Pital’, P. N.; Tsybyshev, A. E.
1
2020
Calculations in the generalized Lubin-Tate theory. Zbl 1471.11286
Vostokov, S. V.; Leonova, E. O.
1
2020
On weakly negative subcategories, weight structures, and (weakly) approximable triangulated categories. Zbl 1450.18005
Bondarko, M. V.; Vostokov, S. V.
1
2020
The hearts of weight structures are the weakly idempotent complete categories. Zbl 1473.18006
Bondarko, Mikhail Vladimirovich; Vostokov, Sergeĭ Vladimirovich
1
2020
On torsion theories, weight and \(t\)-structures in triangulated categories. Zbl 1429.18005
Bondarko, M. V.; Vostokov, S. V.
5
2019
On two approaches to classification of higher local fields. Zbl 1448.11207
Ivanova, Ol’ga Yur’evna; Vostokov, Sergeĭ Vladimirovich; Zhukov, Igor’ Borisovich
2
2019
Inaba extension of complete field of characteristic 0. Zbl 1457.11164
Vostokov, Sergeĭ Vladimirovich; Zhukov, Igor’ Borisovich; Ivanova, Ol’ga Yur’evna
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.
5
2016
Regular formal modules in one-dimensional local fields. Zbl 1409.11105
Vlassiev, S. M.; Vostokov, S. V.; Gorshkov, A. A.
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
Lutz filtration as a Galois module. Zbl 1369.11084
Vostokov, Sergei; Nekrasov, I.; Vostokova, R.
2
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
2
2015
Pairings in local fields and cryptography. Zbl 1369.11080
Vostokov, S. V.; Vostokova, E. S.
1
2015
The skew-symmetric pairing on the Lubin-Tate formal module. Zbl 1388.11079
Ivanov, M. A.; Vostokov, S. V.
1
2015
Primary elements in formal modules. Zbl 1318.11156
Vostokov, S. V.; Klimovitskii, I. L.
5
2013
The Hilbert symbol of polynomial formal groups. Zbl 1302.11094
Vostokov, S. V.; Volkov, V. V.; Pak, G. K.
4
2013
Shafarevich’s paper “A general reciprocity law”. Zbl 1283.11160
Vostokov, S. V.
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
The classical reciprocity law for power residues as an analog of the abelian integral theorem. Zbl 1206.11137
Vostokov, S. V.
1
2009
On a paper of Hasse concerning the Eisenstein reciprocity law. Zbl 1239.11117
Vostokov, S. V.; Ivanov, M. A.; Pak, G. K.
1
2009
Harmony in algebra (on the centenary of the birth of Dmitriĭ Konstantinovich Faddeev, Corresponding Member of the Academy of Sciences of the USSR). Zbl 1324.01025
Vostokov, S. V.; Shafarevich, I. R.
1
2008
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.
5
2003
Local fields and their extensions. 2nd ed. Zbl 1156.11046
Fesenko, I. B.; Vostokov, S. V.
120
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.
9
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.
9
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.
2
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.
6
1995
Hilbert pairing on a complete high-dimensional field. Zbl 0895.11050
Vostokov, S. V.
5
1995
Some approaches to the construction of abelian extensions for \(p\)-adic fields. Zbl 0853.11095
Vostokov, S. V.; Zhukov, I. B.
3
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 extension for \(p\)-adic fields. Zbl 0912.11048
Vostokov, S. V.; Zhukov, I. B.
2
1995
\(K\)-group pairing of multidimensional complete fields. Zbl 0853.11097
Vostokov, S. V.
1
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
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.
25
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 \(p\)-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 \(p\)-extensions of multidimensional local fields. Zbl 0794.11043
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
On the theory of multidimensional local fields. Methods and constructions. Zbl 0721.11054
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B.
5
1990
The norm pairing in formal groups, and Galois representations. Zbl 0743.11064
Benois, D. G.; Vostokov, S. V.
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.
10
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.
13
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.
20
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.
15
1978
On the 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.
6
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.
3
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.
7
1973
all top 5

Cited by 190 Authors

52 Vostokov, Sergeĭ Vladimirovich
13 Bondarko, Mikhail Vladimirovich
9 Afanas’eva, Sof’ya Sergeevna
9 Zhukov, Igor’ Borisovich
7 Keating, Kevin
7 Vostokova, Regina Petrovna
6 Elder, Gove Griffith
6 Fesenko, Ivan Borisovich
6 Pital’, Petr Nikolaevich
6 Volkov, Vladislav Vladimirovich
5 Ikonnikova, Elena Valer’evna
5 Madunts, Aleksandra Igor’evna
4 Byott, Nigel P.
4 Chipchakov, Ivan D.
4 Demchenko, Oleg Vyacheslavovich
4 İkeda, Kâzım İlhan
4 Monge, Maurizio
4 Nekrasov, Ilia I.
4 Pak, G. K.
4 Serbest, Erol
3 Bekker, Boris Mikhaĭlovich
3 Del Corso, Ilaria
3 Hiranouchi, Toshiro
3 Plymen, Roger J.
3 Polyakov, Vladimir Mikhaĭlovich
3 Vavilov, Nikolaĭ Aleksandrovich
2 Aubert, Anne-Marie
2 Banerjee, Debargha
2 Bell, Robert A.
2 Benois, Denis
2 Biswas, Sazzad Ali
2 Dvornicich, Roberto
2 Ferens-Sorotskiy, E. V.
2 Generalov, Aleksandr Ivanovich
2 Gorchinskiĭ, Sergeĭ Olegovich
2 Ivanov, Michael A.
2 Johnston, Henri L. A.
2 Karpenko, Nikita Aleksandrovich
2 Kato, Kazuya
2 Kochubeĭ, Anatoliĭ Naumovych
2 Kurihara, Masato
2 Lagemann, Thorsten
2 Li, Hua-Chieh
2 Lur’e, Boris Beniaminovich
2 Mendes, Sergio
2 Minamide, Arata
2 Morrow, Matthew
2 Nguyễn Quôc Thăng
2 Pauli, Sebastian
2 Pisolkar, Supriya
2 Sosnilo, Vladimir Aleksandrovich
2 Stasinski, Alexander
2 Tengan, Eduardo
2 Thomas, Lara
2 Tsujimura, Shota
1 Abrashkin, Viktor Aleksandrovich
1 Acciaro, Vincenzo
1 Amano, Fumiya
1 Anglès, Bruno
1 Asakura, Masanori
1 Bauchère, Hugues
1 Benois, D. G.
1 Boĭtsov, V. G.
1 Bräunling, Oliver
1 Brown, Jim L.
1 Brussel, Eric S.
1 Byszewski, Jakub
1 Cámara, Alberto
1 Carter, James E.
1 Checcoli, Sara
1 Cornelissen, Gunther
1 Daberkow, Mario
1 de Shalit, Ehud
1 Destagnol, Kevin
1 Dievskiĭ, A. V.
1 Dolce, Paolo
1 Efrat, Ido
1 Ershov, Yuriĭ Leonidovich
1 Ferri, Fabio
1 Fintzen, Jessica
1 Fukaya, Takako
1 Gazaki, Evangelia
1 Ghate, Eknath P.
1 Gonzalez, Jesus
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 Hörmann, Fritz
1 Hou, Xiang-Dong
1 Hutchinson, Kevin
...and 90 more Authors
all top 5

Cited in 68 Serials

32 Journal of Mathematical Sciences (New York)
29 Journal of Number Theory
18 St. Petersburg Mathematical Journal
16 Vestnik St. Petersburg University. Mathematics
13 Journal of Soviet Mathematics
13 Journal de Théorie des Nombres de Bordeaux
7 Journal of Algebra
7 Manuscripta Mathematica
5 Journal of Pure and Applied Algebra
5 Lobachevskii Journal of Mathematics
4 Communications in Algebra
4 Transactions of the American Mathematical Society
4 International Journal of Number Theory
4 Proceedings of the Steklov Institute of Mathematics
4 European Journal of Mathematics
3 Duke Mathematical Journal
3 Mathematische Zeitschrift
3 Chebyshevskiĭ Sbornik
2 Israel Journal of Mathematics
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Advances in Mathematics
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
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 Sbornik: Mathematics
2 Representation Theory
1 Bulletin of the Australian Mathematical Society
1 Mathematical Proceedings of the Cambridge Philosophical Society
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 Compositio Mathematica
1 Functiones et Approximatio. Commentarii Mathematici
1 Illinois Journal of Mathematics
1 Journal of Geometry
1 Kodai Mathematical Journal
1 Mathematische Annalen
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Tôhoku Mathematical Journal. Second Series
1 Journal of Symbolic Computation
1 Forum Mathematicum
1 Glasnik Matematički. Serija III
1 Linear Algebra and its Applications
1 Indagationes Mathematicae. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journal of Algebraic Combinatorics
1 Journal of Algebraic Geometry
1 Bulletin des Sciences Mathématiques
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 JP Journal of Algebra, Number Theory and Applications
1 Central European Journal of Mathematics
1 Journal of the Institute of Mathematics of Jussieu
1 Hacettepe Journal of Mathematics and Statistics
1 Frontiers of Mathematics in China
1 Journal of Noncommutative Geometry
1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
1 Journal of Pseudo-Differential Operators and Applications
1 Kyoto Journal of Mathematics
1 Carpathian Mathematical Publications
1 EMS Surveys in Mathematical Sciences
1 Research in the Mathematical Sciences

Citations by Year

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