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ResearcherID: M-8105-2013
Scopus Author ID: 8540012900

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Explicit form of the Hilbert symbol for polynomial formal groups

St. Petersburg Mathematical Journal
2015 | Journal article
DOI: 10.1090/spmj/1358
EID:

2-s2.0-84938696006
Contributors: Vostokov, S.; Volkov, V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

The arithmetic of the lubin-tate formal module in a multidimensional complete field

St. Petersburg Mathematical Journal
2015 | Journal article
DOI: 10.1090/spmj/1363
EID:

2-s2.0-84944327224
Contributors: Bekker, B.M.; Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Aleksei Nikolaevich Parshin (on his 70th birthday)

Russian Mathematical Surveys
2013 | Journal article
DOI: 10.1070/RM2013v068n01ABEH004827
Part of ISSN: 0036-0279
Contributors: Vostokov, S. V.; Gorchinskii, S. O.; Zheglov, A. B.; Zarkhin, Yu G.; Nesterenko, Yu V.; Orlov, D. O.; Osipov, D. V.; Popov, V. L.; Sergeev, A. G.; Shafarevich, I. R.
Source: Self-asserted source
Sergei Vostokov via ResearcherID

Primary elements in formal modules

Proceedings of the Steklov Institute of Mathematics
2013 | Journal article
DOI: 10.1134/S0081543813070080
Part of ISSN: 0081-5438
Contributors: Vostokov, S. V.; Klimovitskii, I. L.
Source: Self-asserted source
Sergei Vostokov via ResearcherID
grade
Preferred source (of 2)‎

Shafarevich's paper "A general reciprocity law"

Sbornik Mathematics
2013 | Journal article
DOI: 10.1070/SM2013v204n06ABEH004320
Part of ISSN: 1064-5616
Contributors: Vostokov, S. V.
Source: Self-asserted source
Sergei Vostokov via ResearcherID
grade
Preferred source (of 2)‎

The Hensel-Shafarevich canonical basis in complete discrete valuation fields

Journal of Mathematical Sciences (United States)
2013 | Journal article
DOI: 10.1007/s10958-013-1148-5
EID:

2-s2.0-84884418637
Contributors: Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

The Hilbert Symbol in Higher-Dimensional Local Fields for Formal Lubin-Tate Groups

Journal of Mathematical Sciences (United States)
2013 | Journal article
DOI: 10.1007/s10958-013-1380-z
EID:

2-s2.0-84884986685
Contributors: Afanas'eva, S.S.; Bekker, B.M.; Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

The Hilbert Symbol of Polynomial Formal Groups

Journal of Mathematical Sciences (United States)
2013 | Journal article
DOI: 10.1007/s10958-013-1383-9
EID:

2-s2.0-84884976613
Contributors: Vostokov, S.V.; Volkov, V.V.; Pak, G.K.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

The Eisenstein reciprocity law for formal Lubin-Tate groups

Journal of Mathematical Sciences
2012 | Journal article
DOI: 10.1007/s10958-011-0643-9
EID:

2-s2.0-84855676080
Contributors: Vostokov, S.V.; Ivanov, M.A.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Hilbert pairing for the polynomial formal groups

Vestnik St. Petersburg University: Mathematics
2010 | Journal article
DOI: 10.3103/S1063454110010048
EID:

2-s2.0-84859699224
Contributors: Vostokov, S.V.; Ferens-Sorotskiy, E.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

On a paper of Hasse concerning the Eisenstein reciprocity law

Journal of Mathematical Sciences
2009 | Journal article
DOI: 10.1007/s10958-009-9580-2
EID:

2-s2.0-70349605999
Contributors: Vostokov, S.V.; Ivanov, M.A.; Pak, G.K.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

THE CLASSICAL RECIPROCITY LAW FOR POWER RESIDUES AS AN ANALOG OF THE ABELIAN INTEGRAL THEOREM

St Petersburg Mathematical Journal
2009 | Journal article
Part of ISSN: 1061-0022
Contributors: Vostokov, S. V.
Source: Self-asserted source
Sergei Vostokov via ResearcherID

Generalization and application of the Eisenstein reciprocity law

Vestnik St. Petersburg University: Mathematics
2008 | Journal article
DOI: 10.3103/S1063454108010044
EID:

2-s2.0-84859723317
Contributors: Vostokov, S.V.; Orlova, K.Y.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

VARIATIONS ON THE THEME OF D. K. FADDEEV'S PAPER "AN EXPLICIT FORM OF THE KUMMER-TAKAGI RECIPROCITY LAW"

St Petersburg Mathematical Journal
2008 | Journal article
DOI: 10.1090/S1061-0022-08-01017-0
Part of ISSN: 1061-0022
Contributors: Vostokov, S. V.
Source: Self-asserted source
Sergei Vostokov via ResearcherID

Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification

Journal of Mathematical Sciences
2007 | Journal article
DOI: 10.1007/s10958-007-0307-y
EID:

2-s2.0-34547512947
Contributors: Vostokov, S.V.; Zinoviev, A.N.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Celebration of Leonhard Euler's 300th birthday

Russian Mathematical Surveys
2007 | Journal article
DOI: 10.1070/RM2007v062n04ABEH004451
Part of ISSN: 0036-0279
Contributors: Vershik, A. M.; Vostokov, S. V.
Source: Self-asserted source
Sergei Vostokov via ResearcherID

Distinguished isogenies for formal groups in local fields with small ramification

Journal of Mathematical Sciences
2007 | Journal article
DOI: 10.1007/s10958-007-0005-9
EID:

2-s2.0-33846166727
Contributors: Vostokov, S.V.; Bekker, B.M.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Harmony in algebra - On the centenary of the birth of corresponding member of the USSR Academy of Sciences D. K. Faddeev

Herald of the Russian Academy of Sciences
2007 | Journal article
DOI: 10.1134/S1019331607040144
Part of ISSN: 1019-3316
Contributors: Vostokov, S. V.; Shafarevich, I. R.
Source: Self-asserted source
Sergei Vostokov via ResearcherID

The Kneser relation and the Hilbert pairing in multidimensional local field

Mathematische Nachrichten
2007 | Journal article
DOI: 10.1002/mana.200510578
Part of ISSN: 0025-584X
Contributors: Lai, K. F.; Vostokov, S. V.
Source: Self-asserted source
Sergei Vostokov via ResearcherID
grade
Preferred source (of 2)‎

Scalar restriction for formal groups

Journal of Mathematical Sciences
2006 | Journal article
DOI: 10.1007/s10958-006-0122-x
EID:

2-s2.0-33644999686
Contributors: Bondarko, M.V.; Vostokov, S.V.; Minchev, H.P.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

The Hilbert pairing for formal groups over σ-rings

Journal of Mathematical Sciences
2006 | Journal article
DOI: 10.1007/s10958-006-0121-y
EID:

2-s2.0-33645013061
Contributors: Bondarko, M.V.; Vostokov, S.V.; Lorenz, F.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Norm series in high-dimensional local fields

Journal of Mathematical Sciences
2005 | Journal article
DOI: 10.1007/s10958-005-0362-1
EID:

2-s2.0-24344480873
Contributors: Vostokov, S.V.; Pak, G.K.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field

Sbornik Mathematics
2003 | Journal article
DOI: 10.1070/SM2003v194n02ABEH000711
Part of ISSN: 1064-5616
Contributors: Vostokov, SV; Lorenz, F
Source: Self-asserted source
Sergei Vostokov via ResearcherID

An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field

Sbornik Mathematics
2003 | Journal article
EID:

2-s2.0-0038587641
Contributors: Vostokov, S.V.; Lorenz, F.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Extensions with almost maximal depth of ramification

Journal of Mathematical Sciences
2002 | Journal article
EID:

2-s2.0-52649126337
Contributors: Vostokov, S.V.; Zhukov, I.B.; Pak, G.K.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Computation of the number of representations of the elements of the field GF(p) as a sum of lth powers

Journal of Mathematical Sciences
1999 | Journal article
EID:

2-s2.0-53149151820
Contributors: Vostokov, S.V.; Vinnik, P.M.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Decomposition of ideals in Abelian p-extensions of complete, discretely valuated fields

Journal of Mathematical Sciences
1999 | Journal article
EID:

2-s2.0-53149149041
Contributors: Bondarko, M.V.; Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Galois structure for abelian p-extensions of Dedekind domains

Journal fur die Reine und Angewandte Mathematik
1999 | Journal article
EID:

2-s2.0-0038853538
Contributors: Bondarko, M.; Lai, K.F.; Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Galois structure for abelian p-extensions of Dedekind domains - To the memory of Jurgen Neukirch

Journal Fur Die Reine Und Angewandte Mathematik
1999 | Journal article
Part of ISSN: 0075-4102
Contributors: Bondarko, M; Lai, KF; Vostokov, SV
Source: Self-asserted source
Sergei Vostokov via ResearcherID

A relationship between the Hilbert and Witt symbols

Journal of Mathematical Sciences
1998 | Journal article
EID:

2-s2.0-54749132722
Contributors: Vostokov, S.V.; Gurevich, A.N.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

An explicit form of the Hilbert pairing for the relative formal Lubin-Tate groups

Journal of Mathematical Sciences
1998 | Journal article
EID:

2-s2.0-54749122917
Contributors: Vostokov, S.V.; Demchenko, O.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Arithmetic of a group of points of a formal group

Journal of Soviet Mathematics
1993 | Journal article
DOI: 10.1007/BF01097973
EID:

2-s2.0-34250075321
Contributors: Benois, D.G.; Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Decomposability of ideals in splitting p-extensions of local fields

Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya
1993 | Journal article
EID:

2-s2.0-0027644777
Contributors: Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Galois modules in a multidimensional local field

Journal of Soviet Mathematics
1993 | Journal article
DOI: 10.1007/BF02988474
EID:

2-s2.0-57149131444
Contributors: Mokrinskaya, R.P.; Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

ON P-EXTENSIONS OF MULTIDIMENSIONAL LOCAL-FIELDS

Mathematische Nachrichten
1993 | Journal article
Part of ISSN: 0025-584X
Contributors: BENOIS, DG; VOSTOKOV, SV
Source: Self-asserted source
Sergei Vostokov via ResearcherID

P-ADIC REPRESENTATIONS OF MULTIDIMENSIONAL LOCAL-FIELDS ATTACHED TO FORMAL GROUPS

Journal Fur Die Reine Und Angewandte Mathematik
1993 | Journal article
Part of ISSN: 0075-4102
Contributors: BENOIS, DG; VOSTOKOV, SV
Source: Self-asserted source
Sergei Vostokov via ResearcherID

Sur les représentations p-adiques des corps locaux multidimensionnels attachés aux groupes formels

Journal fur die Reine und Angewandte Mathematik
1993 | Journal article
DOI: 10.1515/crll.1993.437.131
EID:

2-s2.0-84941393030
Contributors: Benois, D.G.; Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Norm property of Hilbert pairing

Journal of Soviet Mathematics
1991 | Journal article
DOI: 10.1007/BF01100114
EID:

2-s2.0-34250078416
Contributors: Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

The Lutz filtration as a Galois module in an extension without higher ramification

Journal of Soviet Mathematics
1990 | Journal article
DOI: 10.1007/BF02342932
EID:

2-s2.0-34249958597
Contributors: Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

A CERTAIN PROPERTY OF THE HILBERT PAIRING

Mathematical Notes
1988 | Journal article
DOI: 10.1007/BF01138846
Part of ISSN: 0001-4346
Contributors: VOSTOKOV, SV; FESENKO, IB
Source: Self-asserted source
Sergei Vostokov via ResearcherID
grade
Preferred source (of 2)‎

A REMARK ON THE SPACE OF CYCLOTOMIC UNITS

Vestnik Leningradskogo Universiteta Seriya Matematika Mekhanika Astronomiya
1988 | Journal article
Part of ISSN: 0132-4624
Contributors: VOSTOKOV, SV
Source: Self-asserted source
Sergei Vostokov via ResearcherID

The second factor in the reciprocity law

Journal of Soviet Mathematics
1987 | Journal article
DOI: 10.1007/BF01089087
EID:

2-s2.0-34250100868
Contributors: Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

EXPLICIT CONSTRUCTION OF CLASS FIELD-THEORY FOR A MULTIDIMENSIONAL LOCAL FIELD

Mathematics of the Ussr-Izvestiya
1985 | Journal article
Part of ISSN: 0025-5726
Contributors: VOSTOKOV, SV
Source: Self-asserted source
Sergei Vostokov via ResearcherID

Hilbert symbol for Lubin-Tate formal groups. II

Journal of Soviet Mathematics
1985 | Journal article
DOI: 10.1007/BF02105100
EID:

2-s2.0-34250113375
Contributors: Vostokov, S.V.; Fesenko, I.B.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Normed pairing in a two-dimensional local field

Journal of Soviet Mathematics
1985 | Journal article
DOI: 10.1007/BF02105099
EID:

2-s2.0-34250109946
Contributors: Vostokov, S.V.; Kirillov, A.N.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Canonical decomposition in the group of points of a formal Lubin-Tate group

Journal of Soviet Mathematics
1984 | Journal article
DOI: 10.1007/BF01094370
EID:

2-s2.0-34250136628
Contributors: Vostokov, S.V.; Letsko, V.A.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

Hilbert symbol in an extension of the field of 2-adic numbers

Journal of Soviet Mathematics
1984 | Journal article
DOI: 10.1007/BF01094371
EID:

2-s2.0-34250140628
Contributors: Vostokov, S.V.; Letsko, V.A.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

The Hilbert symbol for Lubin-Tate formal groups. I

Journal of Soviet Mathematics
1984 | Journal article
DOI: 10.1007/BF01410742
EID:

2-s2.0-34250141818
Contributors: Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier

THE THEORY OF FIELDS OF MULTIDIMENSIONAL LOCAL FIELD CLASSES

Doklady Akademii Nauk Sssr
1984 | Journal article
Part of ISSN: 0002-3264
Contributors: VOSTOKOV, SV
Source: Self-asserted source
Sergei Vostokov via ResearcherID

Hilbert symbol in a discrete valuated field

Journal of Soviet Mathematics
1982 | Journal article
DOI: 10.1007/BF01476113
EID:

2-s2.0-34250229246
Contributors: Vostokov, S.V.
Source: Self-asserted source
Sergei Vostokov via Scopus - Elsevier
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