Edit Profile Vostokov, Sergeĭ Vladimirovich Compute Distance To: Compute Author ID: vostokov.sergei-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. all top 5 Serials 19 Journal of Mathematical Sciences (New York) 17 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 10 Chebyshevskiĭ Sbornik 5 Zapiski Nauchnykh Seminarov POMI 5 Lobachevskii Journal of Mathematics 4 Mathematics of the USSR. Izvestiya 4 Trudy Sankt-Peterburgskogo Matematicheskogo Obshchestva 3 Mathematical Notes 3 Soviet Mathematics. Doklady 3 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Proceedings of the Steklov Institute of Mathematics 2 Russian Mathematical Surveys 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 138 Number theory (11-XX) 46 Algebraic geometry (14-XX) 16 \(K\)-theory (19-XX) 9 Field theory and polynomials (12-XX) 7 History and biography (01-XX) 6 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) Publications by Year all cited Publications top 5 cited Publications 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 1156.11046Fesenko, 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 0781.11042Fesenko, Ivan B.; Vostokov, S. V. 23 1993 Explicit form of the law of reciprocity. Zbl 0467.12018Vostokov, S. V. 19 1979 Eine explizite Form des Reziprozitätsgesetzes. Zbl 0408.12002Vostokov, S. V. 14 1978 Symbols on formal groups. Zbl 0483.14011Vostokov, S. V. 10 1981 An explicit formula of the Hilbert pairing for Honda formal groups. Zbl 1101.14323Vostokov, S. V.; Demchenko, O. V. 10 2000 A norm pairing in formal modules. Zbl 0463.12008Vostokov, S. V. 10 1980 An explicit classification of formal groups over local fields. Zbl 1125.11357Bondarko, M. V.; Vostokov, S. V. 9 2003 The Hilbert symbol in a complete multidimensional field. I. Zbl 1118.11050Belyaeva, T. B.; Vostokov, S. V. 8 2001 Explicit construction of class field theory for a multidimensional local field. Zbl 0608.12017Vostokov, S. V. 8 1986 Honda groups and explicit pairings on the modules of Cartier curves. Zbl 1025.11037Lorenz, Falko; Vostokov, Sergei 7 2002 On torsion in higher Milnor functors for multidimensional local fields. Zbl 0796.11053Vostokov, 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 0329.12021Borevich, Z. I.; Vostokov, S. V. 6 1973 On an explicit form of the reciprocity law. Zbl 0393.12001Vostokov, S. V. 6 1978 Hilbert symbol in a discrete valuated field. Zbl 0486.12007Vostokov, S. V. 6 1982 An explicit form of the Hilbert pairing for the relative formal Lubin-Tate groups. Zbl 1156.11344Vostokov, S. V.; Demchenko, O. V. 5 1995 Additive Galois modules in complete discrete valuation fields. Zbl 0902.11050Bondarko, M. V.; Vostokov, S. V.; Zhukov, I. B. 5 1997 Norm series for Lubin-Tate formal groups. Zbl 1116.14312Perlis, R.; Vostokov, S. V. 5 2001 Explicit formulas for the Hilbert symbol. Zbl 1008.11053Vostokov, Sergei V. 5 2000 Primary elements in formal modules. Zbl 1318.11156Vostokov, S. V.; Klimovitskii, I. L. 5 2013 On the law of reciprocity in an algebraic number field. Zbl 0464.12007Vostokov, S. V. 5 1978 Elliptic curves and formal groups. Zbl 0929.14028Vostokov, S. V.; Fesenko, I. B. 4 1993 Hilbert pairing on a complete high-dimensional field. Zbl 0895.11050Vostokov, S. V. 4 1995 An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field. Zbl 1055.11073Vostokov, S. V.; Lorenz, F. 4 2003 The norm pairing in formal groups, and Galois representations. Zbl 0743.11064Benois, D. G.; Vostokov, S. V. 4 1990 The Lubin-Tate formal module in a cyclic unramified \(p\)-extension as a Galois module. Zbl 1369.11081Vostokov, Sergeĭ V.; Nekrasov, I. I. 4 2016 A certain property of the Hilbert pairing. Zbl 0692.14030Vostokov, S. V.; Fesenko, I. B. 4 1988 On the theory of multidimensional local fields. Methods and constructions. Zbl 0721.11054Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B. 4 1990 The Hilbert pairing for formal groups over \(\sigma\)-rings. Zbl 1105.14061Bondarko, M. V.; Vostokov, S. V.; Lorenz, F. 3 2004 Ideals of an Abelian p-extension of a local field as Galois modules. Zbl 0403.12017Vostokov, S. V. 3 1979 Shafarevich’s paper “A general reciprocity law”. Zbl 1283.11160Vostokov, S. V. 3 2013 The Hilbert symbol for Lubin-Tate formal groups. Zbl 0497.14019Vostokov, S. V. 3 1982 Symbols on formal groups. Zbl 0501.14027Vostokov, S. V. 3 1982 The Hilbert symbol of polynomial formal groups. Zbl 1302.11094Vostokov, S. V.; Volkov, V. V.; Pak, G. K. 3 2013 The Kneser relation and the Hilbert pairing in multidimensional local field. Zbl 1157.11045Lai, K. F.; Vostokov, S. V. 3 2007 The Hilbert symbol in a discrete valuated field. Zbl 0442.12022Vostokov, S. V. 3 1979 The Hilbert symbol for Lubin-Tate formal groups. I. Zbl 0563.14022Vostokov, S. V. 3 1984 The Hilbert symbol for Lubin-Tate formal groups. II. Zbl 0574.12016Vostokov, S. V.; Fesenko, I. B. 3 1985 A relationship between the Hilbert and Witt symbols. Zbl 1156.11345Vostokov, S. V.; Gurevich, A. N. 2 1995 Some approaches to the construction of abelian extensions for \(p\)-adic fields. Zbl 0853.11095Vostokov, S. V.; Zhukov, I. B. 2 1995 Extensions with almost maximal depth of ramification. Zbl 1343.11088Vostokov, S. V.; Zhukov, I. B.; Pak, G. K. 2 2002 Additive Galois modules in Dedekind rings. Decomposability. Zbl 0973.11098Bondarko, M. V.; Vostokov, S. V. 2 2000 Ideale einer abelschen p-Erweiterung eines lokalen Körpers als Galoisschen Moduln. Zbl 0355.12012Vostokov, S. V. 2 1976 Ideals of an abelian p-extension of an irregular local field as Galois modules. Zbl 0396.12016Vostokov, S. V. 2 1978 Normed pairing in formal groups and Galois representations. Zbl 0724.11059Benois, D. G.; Vostokov, S. V. 2 1990 On the theory of higher-dimensional local fields. Methods and constructions. Zbl 0732.11066Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B. 2 1991 The arithmetic of the group of points of a formal group. Zbl 0752.11053Benois, D. G.; Vostokov, S. V. 2 1991 Canonical decomposition in the group of points of a formal Lubin-Tate group. Zbl 0536.14030Vostokov, S. V.; Letsko, V. A. 2 1984 The canonical Hensel-Shafarevich basis in complete discrete valuation fields. Zbl 1300.12009Vostokov, S. V. 2 2013 Lutz filtration as a Galois module. Zbl 1369.11084Vostokov, 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 1369.11082Vostokov, Sergeĭ V.; Volkov, V. V.; Bondarko, M. V. 2 2016 An explicit pairing formula in formal modules. Zbl 0436.12012Vostokov, S. V. 2 1978 Normal basis for an ideal in a local ring. Zbl 0462.12004Vostokov, S. V. 2 1981 Norm pairing in a two-dimensional local field. Zbl 0566.12006Vostokov, S. V.; Kirillov, A. N. 2 1985 On torsion theories, weight and \(t\)-structures in triangulated categories. Zbl 1429.18005Bondarko, M. V.; Vostokov, S. V. 2 2019 Decomposition of ideals in abelian \(p\)-extensions of complete discrete valuation fields. Zbl 0949.11059Bondarko, M. V.; Vostokov, S. V. 1 1997 The pairing on \(K\)-groups in fields of valuation of rank \(n\). Zbl 0873.11064Vostokov, S. V. 1 1995 Artin-Hasse exponentials and Bernoulli numbers. Zbl 0894.11044Vostokov, S. V. 1 1995 Some approaches to the construction of abelian extension for \(p\)-adic fields. Zbl 0912.11048Vostokov, S. V.; Zhukov, I. B. 1 1995 Decomposability of ideals in splitting \(p\)-extensions of local fields. Zbl 0841.11059Vostokov, S. V. 1 1993 \(K\)-group pairing of multidimensional complete fields. Zbl 0853.11097Vostokov, S. V. 1 1995 On \(p\)-extensions of multidimensional local fields. Zbl 0794.11043Benois, D. G.; Vostokov, S. V. 1 1993 Galois representations in Honda’s formal groups. Arithmetic of the group of points. Zbl 0817.11053Benois, D. G.; Vostokov, S. V. 1 1994 Extensions with almost maximal depth of ramification. Zbl 1039.11084Vostokov, 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 0763.11045Benois, D. G.; Vostokov, S. V. 1 1993 Decomposability of ideals as Galois modules in complete discrete valuation fields. Zbl 0964.11054Bondarko, M. V.; Vostokov, S. V. 1 1999 Ideale einer abelschen p-Erweiterung eines irregulären lokalen Körpers als Galoissche Moduln. Zbl 0345.12009Vostokov, S. V. 1 1974 Shafarevich bases in topological \(K\)-groups. Zbl 0916.11060Bekker, B.; Bondarko, M.; Vostokov, S. 1 1998 Hilbert pairing for the polynomial formal groups. Zbl 1331.11105Vostokov, 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 1127.14042Vostokov, S. V.; Zinoviev, A. N. 1 2006 Generalised Kawada-Satake method for Mackey functors in class field theory. Zbl 1426.19004Fesenko, Ivan B.; Vostokov, Sergei V.; Yoon, Seok Ho 1 2018 On the Seminar “Constructive class field theory”. Zbl 0806.11003Bekker, 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 1409.11105Vlassiev, 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 0497.12007Vostokov, S. V. 1 1982 Isomorphism of ideals regarded as Galois modules of complete discrete valuation fields with residue field of positive characteristic. Zbl 1247.11145Bondarko, M. V.; Vostokov, S. V. 1 2000 On a paper of Hasse concerning the Eisenstein reciprocity law. Zbl 1239.11117Vostokov, S. V.; Ivanov, M. A.; Pak, G. K. 1 2009 The Hilbert symbol in higher-dimensional local fields for formal Lubin-Tate groups. Zbl 1302.11093Afanas’eva, S. S.; Bekker, B. M.; Vostokov, S. V. 1 2013 Explicit form of the Hilbert symbol for polynomial formal groups. Zbl 1369.11083Vostokov, Sergei Vladimirovich; Volkov, Vladislav Vladimirovich 1 2015 The skew-symmetric pairing on the Lubin-Tate formal module. Zbl 1388.11079Ivanov, M. A.; Vostokov, S. V. 1 2015 Pairings in local fields and cryptography. Zbl 1369.11080Vostokov, S. V.; Vostokova, E. S. 1 2015 Norm series in high-dimensional local fields. Zbl 1140.11351Vostokov, S. V.; Pak, G. K. 1 2005 The canonical decomposition in the group of points of the formal Lubin- Tate group. Zbl 0475.14035Vostokov, S. V.; Letsko, V. A. 1 1980 The classical reciprocity law for power residues as an analog of the abelian integral theorem. Zbl 1206.11137Vostokov, S. V. 1 2009 Degeneration of the Hilbert pairing in formal groups over local fields. Zbl 1401.11152Vostokov, S. V.; Vostokova, R. P.; Podkopaeva, O. Yu. 1 2016 Hilbert pairing on Lorentz formal groups. Zbl 1427.11132Vostokov, S. V.; Pital’, P. N. 1 2017 On two approaches to classification of higher local fields. Zbl 1448.11207Ivanova, Ol’ga Yur’evna; Vostokov, Sergeĭ Vladimirovich; Zhukov, Igor’ Borisovich 1 2019 On torsion theories, weight and \(t\)-structures in triangulated categories. Zbl 1429.18005Bondarko, M. V.; Vostokov, S. V. 2 2019 On two approaches to classification of higher local fields. Zbl 1448.11207Ivanova, Ol’ga Yur’evna; Vostokov, Sergeĭ Vladimirovich; Zhukov, Igor’ Borisovich 1 2019 Generalised Kawada-Satake method for Mackey functors in class field theory. Zbl 1426.19004Fesenko, Ivan B.; Vostokov, Sergei V.; Yoon, Seok Ho 1 2018 Hilbert pairing on Lorentz formal groups. Zbl 1427.11132Vostokov, S. V.; Pital’, P. N. 1 2017 The Lubin-Tate formal module in a cyclic unramified \(p\)-extension as a Galois module. Zbl 1369.11081Vostokov, Sergeĭ V.; Nekrasov, I. I. 4 2016 Lutz filtration as a Galois module. Zbl 1369.11084Vostokov, 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 1369.11082Vostokov, Sergeĭ V.; Volkov, V. V.; Bondarko, M. V. 2 2016 Regular formal modules in one-dimensional local fields. Zbl 1409.11105Vlassiev, S. M.; Vostokov, S. V.; Gorshkov, A. A. 1 2016 Degeneration of the Hilbert pairing in formal groups over local fields. Zbl 1401.11152Vostokov, S. V.; Vostokova, R. P.; Podkopaeva, O. Yu. 1 2016 Explicit form of the Hilbert symbol for polynomial formal groups. Zbl 1369.11083Vostokov, Sergei Vladimirovich; Volkov, Vladislav Vladimirovich 1 2015 The skew-symmetric pairing on the Lubin-Tate formal module. Zbl 1388.11079Ivanov, M. A.; Vostokov, S. V. 1 2015 Pairings in local fields and cryptography. Zbl 1369.11080Vostokov, S. V.; Vostokova, E. S. 1 2015 Primary elements in formal modules. Zbl 1318.11156Vostokov, S. V.; Klimovitskii, I. L. 5 2013 Shafarevich’s paper “A general reciprocity law”. Zbl 1283.11160Vostokov, S. V. 3 2013 The Hilbert symbol of polynomial formal groups. Zbl 1302.11094Vostokov, S. V.; Volkov, V. V.; Pak, G. K. 3 2013 The canonical Hensel-Shafarevich basis in complete discrete valuation fields. Zbl 1300.12009Vostokov, S. V. 2 2013 The Hilbert symbol in higher-dimensional local fields for formal Lubin-Tate groups. Zbl 1302.11093Afanas’eva, S. S.; Bekker, B. M.; Vostokov, S. V. 1 2013 Hilbert pairing for the polynomial formal groups. Zbl 1331.11105Vostokov, S. V.; Ferens-Sorotskiy, E. V. 1 2010 On a paper of Hasse concerning the Eisenstein reciprocity law. Zbl 1239.11117Vostokov, 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 1206.11137Vostokov, S. V. 1 2009 The Kneser relation and the Hilbert pairing in multidimensional local field. Zbl 1157.11045Lai, 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 1127.14042Vostokov, S. V.; Zinoviev, A. N. 1 2006 Norm series in high-dimensional local fields. Zbl 1140.11351Vostokov, S. V.; Pak, G. K. 1 2005 The Hilbert pairing for formal groups over \(\sigma\)-rings. Zbl 1105.14061Bondarko, M. V.; Vostokov, S. V.; Lorenz, F. 3 2004 An explicit classification of formal groups over local fields. Zbl 1125.11357Bondarko, M. V.; Vostokov, S. V. 9 2003 An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field. Zbl 1055.11073Vostokov, S. V.; Lorenz, F. 4 2003 Local fields and their extensions. 2nd ed. Zbl 1156.11046Fesenko, I. B.; Vostokov, S. V. 96 2002 Honda groups and explicit pairings on the modules of Cartier curves. Zbl 1025.11037Lorenz, Falko; Vostokov, Sergei 7 2002 Extensions with almost maximal depth of ramification. Zbl 1343.11088Vostokov, S. V.; Zhukov, I. B.; Pak, G. K. 2 2002 The Hilbert symbol in a complete multidimensional field. I. Zbl 1118.11050Belyaeva, T. B.; Vostokov, S. V. 8 2001 Norm series for Lubin-Tate formal groups. Zbl 1116.14312Perlis, R.; Vostokov, S. V. 5 2001 An explicit formula of the Hilbert pairing for Honda formal groups. Zbl 1101.14323Vostokov, S. V.; Demchenko, O. V. 10 2000 Explicit formulas for the Hilbert symbol. Zbl 1008.11053Vostokov, Sergei V. 5 2000 Additive Galois modules in Dedekind rings. Decomposability. Zbl 0973.11098Bondarko, 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 1247.11145Bondarko, M. V.; Vostokov, S. V. 1 2000 Extensions with almost maximal depth of ramification. Zbl 1039.11084Vostokov, S. V.; Zhukov, I. B.; Pak, G. K. 1 1999 Decomposability of ideals as Galois modules in complete discrete valuation fields. Zbl 0964.11054Bondarko, M. V.; Vostokov, S. V. 1 1999 Shafarevich bases in topological \(K\)-groups. Zbl 0916.11060Bekker, B.; Bondarko, M.; Vostokov, S. 1 1998 Additive Galois modules in complete discrete valuation fields. Zbl 0902.11050Bondarko, M. V.; Vostokov, S. V.; Zhukov, I. B. 5 1997 Decomposition of ideals in abelian \(p\)-extensions of complete discrete valuation fields. Zbl 0949.11059Bondarko, M. V.; Vostokov, S. V. 1 1997 An explicit form of the Hilbert pairing for the relative formal Lubin-Tate groups. Zbl 1156.11344Vostokov, S. V.; Demchenko, O. V. 5 1995 Hilbert pairing on a complete high-dimensional field. Zbl 0895.11050Vostokov, S. V. 4 1995 A relationship between the Hilbert and Witt symbols. Zbl 1156.11345Vostokov, S. V.; Gurevich, A. N. 2 1995 Some approaches to the construction of abelian extensions for \(p\)-adic fields. Zbl 0853.11095Vostokov, S. V.; Zhukov, I. B. 2 1995 The pairing on \(K\)-groups in fields of valuation of rank \(n\). Zbl 0873.11064Vostokov, S. V. 1 1995 Artin-Hasse exponentials and Bernoulli numbers. Zbl 0894.11044Vostokov, S. V. 1 1995 Some approaches to the construction of abelian extension for \(p\)-adic fields. Zbl 0912.11048Vostokov, S. V.; Zhukov, I. B. 1 1995 \(K\)-group pairing of multidimensional complete fields. Zbl 0853.11097Vostokov, S. V. 1 1995 Galois representations in Honda’s formal groups. Arithmetic of the group of points. Zbl 0817.11053Benois, 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 0781.11042Fesenko, Ivan B.; Vostokov, S. V. 23 1993 Elliptic curves and formal groups. Zbl 0929.14028Vostokov, S. V.; Fesenko, I. B. 4 1993 Decomposability of ideals in splitting \(p\)-extensions of local fields. Zbl 0841.11059Vostokov, S. V. 1 1993 On \(p\)-extensions of multidimensional local fields. Zbl 0794.11043Benois, 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 0763.11045Benois, D. G.; Vostokov, S. V. 1 1993 On the Seminar “Constructive class field theory”. Zbl 0806.11003Bekker, 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 0732.11066Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B. 2 1991 The arithmetic of the group of points of a formal group. Zbl 0752.11053Benois, D. G.; Vostokov, S. V. 2 1991 The norm pairing in formal groups, and Galois representations. Zbl 0743.11064Benois, D. G.; Vostokov, S. V. 4 1990 On the theory of multidimensional local fields. Methods and constructions. Zbl 0721.11054Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B. 4 1990 Normed pairing in formal groups and Galois representations. Zbl 0724.11059Benois, D. G.; Vostokov, S. V. 2 1990 A certain property of the Hilbert pairing. Zbl 0692.14030Vostokov, S. V.; Fesenko, I. B. 4 1988 Explicit construction of class field theory for a multidimensional local field. Zbl 0608.12017Vostokov, S. V. 8 1986 On torsion in higher Milnor functors for multidimensional local fields. Zbl 0796.11053Vostokov, S. V.; Fesenko, I. B. 6 1986 The Hilbert symbol for Lubin-Tate formal groups. II. Zbl 0574.12016Vostokov, S. V.; Fesenko, I. B. 3 1985 Norm pairing in a two-dimensional local field. Zbl 0566.12006Vostokov, S. V.; Kirillov, A. N. 2 1985 The Hilbert symbol for Lubin-Tate formal groups. I. Zbl 0563.14022Vostokov, S. V. 3 1984 Canonical decomposition in the group of points of a formal Lubin-Tate group. Zbl 0536.14030Vostokov, S. V.; Letsko, V. A. 2 1984 Hilbert symbol in a discrete valuated field. Zbl 0486.12007Vostokov, S. V. 6 1982 The Hilbert symbol for Lubin-Tate formal groups. Zbl 0497.14019Vostokov, S. V. 3 1982 Symbols on formal groups. Zbl 0501.14027Vostokov, S. V. 3 1982 The ring of integers of an abelian extension of an algebraic number field as a Galois module. Zbl 0497.12007Vostokov, S. V. 1 1982 Symbols on formal groups. Zbl 0483.14011Vostokov, S. V. 10 1981 Normal basis for an ideal in a local ring. Zbl 0462.12004Vostokov, S. V. 2 1981 A norm pairing in formal modules. Zbl 0463.12008Vostokov, S. V. 10 1980 The canonical decomposition in the group of points of the formal Lubin- Tate group. Zbl 0475.14035Vostokov, S. V.; Letsko, V. A. 1 1980 Explicit form of the law of reciprocity. Zbl 0467.12018Vostokov, S. V. 19 1979 Ideals of an Abelian p-extension of a local field as Galois modules. Zbl 0403.12017Vostokov, S. V. 3 1979 The Hilbert symbol in a discrete valuated field. Zbl 0442.12022Vostokov, S. V. 3 1979 Eine explizite Form des Reziprozitätsgesetzes. Zbl 0408.12002Vostokov, S. V. 14 1978 On an explicit form of the reciprocity law. Zbl 0393.12001Vostokov, S. V. 6 1978 On the law of reciprocity in an algebraic number field. Zbl 0464.12007Vostokov, S. V. 5 1978 Ideals of an abelian p-extension of an irregular local field as Galois modules. Zbl 0396.12016Vostokov, S. V. 2 1978 An explicit pairing formula in formal modules. Zbl 0436.12012Vostokov, S. V. 2 1978 Ideale einer abelschen p-Erweiterung eines lokalen Körpers als Galoisschen Moduln. Zbl 0355.12012Vostokov, S. V. 2 1976 Ideale einer abelschen p-Erweiterung eines irregulären lokalen Körpers als Galoissche Moduln. Zbl 0345.12009Vostokov, S. V. 1 1974 The ring of integral elements of an extension of prime degree of a local field as a Galois module. Zbl 0329.12021Borevich, Z. I.; Vostokov, S. V. 6 1973 all cited Publications top 5 cited Publications 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 all top 5 Cited in 19 Fields 173 Number theory (11-XX) 55 Algebraic geometry (14-XX) 28 Field theory and polynomials (12-XX) 19 Group theory and generalizations (20-XX) 15 \(K\)-theory (19-XX) 14 Associative rings and algebras (16-XX) 9 Topological groups, Lie groups (22-XX) 7 Commutative algebra (13-XX) 4 Category theory; homological algebra (18-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-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. 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