Edit Profile (opens in new tab) Vostokov, Sergeĭ Vladimirovich Co-Author Distance Author ID: vostokov.sergei-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 more...less Further Spellings: Востоков Сергей Владимирович External Links: MGP · ORCID · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 156 Publications since 1973, including 2 Books and 2 Additional arXiv Preprints 1 Contribution as Editor Biographic References: 4 Publications Co-Authors: 88 Co-Authors with 111 Joint Publications 1,927 Co-Co-Authors all top 5 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. all top 5 Serials 22 Journal of Mathematical Sciences (New York) 18 Vestnik St. Petersburg University. Mathematics 16 Journal of Soviet Mathematics 14 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 10 St. Petersburg Mathematical Journal 9 Chebyshevskiĭ Sbornik 5 Zapiski Nauchnykh Seminarov POMI 5 Lobachevskii Journal of Mathematics 4 Mathematics of the USSR. Izvestiya 4 Trudy Sankt-Peterburgskogo Matematicheskogo Obshchestva 4 Proceedings of the Steklov Institute of Mathematics 3 Mathematical Notes 3 Russian Mathematical Surveys 3 Soviet Mathematics. Doklady 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Nachrichten 2 Algebra i Analiz 2 Leningrad Mathematical Journal 2 Sbornik: Mathematics 2 Translations of Mathematical Monographs 1 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 1 Vestnik Leningrad University. Mathematics 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Documenta Mathematica 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Contemporary Mathematics 1 European Journal of Mathematics all top 5 Fields 143 Number theory (11-XX) 47 Algebraic geometry (14-XX) 17 \(K\)-theory (19-XX) 9 Field theory and polynomials (12-XX) 8 History and biography (01-XX) 7 Category theory; homological algebra (18-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 1 Commutative algebra (13-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 23 Fields 198 Number theory (11-XX) 65 Algebraic geometry (14-XX) 32 Field theory and polynomials (12-XX) 25 Group theory and generalizations (20-XX) 19 \(K\)-theory (19-XX) 16 Associative rings and algebras (16-XX) 12 Topological groups, Lie groups (22-XX) 8 Commutative algebra (13-XX) 8 Category theory; homological algebra (18-XX) 3 Functional analysis (46-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.