Vostokov, S. V.; Pital’, P. N.; Polyakov, V. M. Higher criteria for the regularity of a one-dimensional local field. (English. Russian original) Zbl 1514.11076 Vestn. St. Petersbg. Univ., Math. 55, No. 2, 154-165 (2022); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 230-245 (2022). Reviewer: Günter Lettl (Graz) MSC: 11S31 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Vestn. St. Petersbg. Univ., Math. 55, No. 2, 154--165 (2022; Zbl 1514.11076); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 9(67), No. 1, 230--245 (2022) Full Text: DOI
Vlaskina, N. K.; Vostokov, S. V.; Pital’, P. N.; Tsybyshev, A. E. Degree of irregularity and regular formal modules in local fields. (English. Russian original) Zbl 1462.11110 Vestn. St. Petersbg. Univ., Math. 53, No. 4, 398-403 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 588-596 (2020). Reviewer: Mouad Moutaoukil (Fès) MSC: 11S31 11S15 PDFBibTeX XMLCite \textit{N. K. Vlaskina} et al., Vestn. St. Petersbg. Univ., Math. 53, No. 4, 398--403 (2020; Zbl 1462.11110); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 4, 588--596 (2020) Full Text: DOI
Madunts, A. I.; Vostokov, S. V.; Vostokova, R. P. Formal groups over sub-rings of the ring of integers of a multidimensional local field. (English. Russian original) Zbl 1505.11146 Vestn. St. Petersbg. Univ., Math. 52, No. 1, 59-65 (2019); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 1, 88-97 (2019). MSC: 11S31 PDFBibTeX XMLCite \textit{A. I. Madunts} et al., Vestn. St. Petersbg. Univ., Math. 52, No. 1, 59--65 (2019; Zbl 1505.11146); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 6(64), No. 1, 88--97 (2019) Full Text: DOI
Vostokov, S. V.; Nekrasov, I. I. Cohomology of formal modules over local fields. (English. Russian original) Zbl 1432.11171 Math. Notes 105, No. 1, 3-7 (2019); translation from Mat. Zametki 105, No. 1, 3-8 (2019). MSC: 11S31 11S23 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{I. I. Nekrasov}, Math. Notes 105, No. 1, 3--7 (2019; Zbl 1432.11171); translation from Mat. Zametki 105, No. 1, 3--8 (2019) Full Text: DOI
Hakobyan, T. L.; Vostokov, S. V. Honda formal module in an unramified \(p\)-extension of a local field as a Galois module. (English. Russian original) Zbl 1440.11216 Vestn. St. Petersbg. Univ., Math. 51, No. 4, 317-321 (2018); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 4, 541-548 (2018). MSC: 11S20 14L05 PDFBibTeX XMLCite \textit{T. L. Hakobyan} and \textit{S. V. Vostokov}, Vestn. St. Petersbg. Univ., Math. 51, No. 4, 317--321 (2018; Zbl 1440.11216); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 5(63), No. 4, 541--548 (2018) Full Text: DOI
Vostokov, S. V.; Afanas’eva, S. S.; Bondarko, M. V.; Volkov, V. V.; Demchenko, O. V.; Ikonnikova, E. V.; Zhukov, I. B.; Nekrasov, I. I.; Pital’, P. N. Explicit constructions and the arithmetic of local number fields. (English. Russian original) Zbl 1433.11130 Vestn. St. Petersbg. Univ., Math. 50, No. 3, 242-264 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 3, 402-435 (2017). MSC: 11S31 11S70 11-02 11-03 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Vestn. St. Petersbg. Univ., Math. 50, No. 3, 242--264 (2017; Zbl 1433.11130); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 3, 402--435 (2017) Full Text: DOI
Vostokov, S. V.; Pital’, P. N. Hilbert pairing on Lorentz formal groups. (English. Russian original) Zbl 1427.11132 Vestn. St. Petersbg. Univ., Math. 50, No. 2, 117-121 (2017); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 2, 201-207 (2017). MSC: 11S31 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{P. N. Pital'}, Vestn. St. Petersbg. Univ., Math. 50, No. 2, 117--121 (2017; Zbl 1427.11132); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 4(62), No. 2, 201--207 (2017) Full Text: DOI
Vlassiev, S. M.; Vostokov, S. V.; Gorshkov, A. A. Regular formal modules in one-dimensional local fields. (English. Russian original) Zbl 1409.11105 Vestn. St. Petersbg. Univ., Math. 49, No. 4, 313-319 (2016); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 544-551 (2016). MSC: 11S15 11S31 PDFBibTeX XMLCite \textit{S. M. Vlassiev} et al., Vestn. St. Petersbg. Univ., Math. 49, No. 4, 313--319 (2016; Zbl 1409.11105); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2016, No. 4, 544--551 (2016) Full Text: DOI
Ivanov, M. A.; Vostokov, S. V. The skew-symmetric pairing on the Lubin-Tate formal module. (English) Zbl 1388.11079 Dieulefait, Luis (ed.) et al., Arithmetic and geometry. Proceedings of the research conference of the trimester, Bonn, Germany, April 15–19, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-46254-0/pbk; 978-1-316-10687-7/ebook). London Mathematical Society Lecture Note Series 420, 255-263 (2015). MSC: 11S31 11G07 PDFBibTeX XMLCite \textit{M. A. Ivanov} and \textit{S. V. Vostokov}, Lond. Math. Soc. Lect. Note Ser. 420, 255--263 (2015; Zbl 1388.11079)
Vostokov, S. V.; Vostokova, E. S. Pairings in local fields and cryptography. (English) Zbl 1369.11080 Lobachevskii J. Math. 36, No. 4, 319-327 (2015). MSC: 11S31 94A60 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{E. S. Vostokova}, Lobachevskii J. Math. 36, No. 4, 319--327 (2015; Zbl 1369.11080) Full Text: DOI
Vostokov, Sergei Vladimirovich; Volkov, Vladislav Vladimirovich Explicit form of the Hilbert symbol for polynomial formal groups. (English) Zbl 1369.11083 St. Petersbg. Math. J. 26, No. 5, 785-796 (2015); translation from Algebra Anal. 26, No. 5, 125-141 (2014). MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{V. V. Volkov}, St. Petersbg. Math. J. 26, No. 5, 785--796 (2015; Zbl 1369.11083); translation from Algebra Anal. 26, No. 5, 125--141 (2014) Full Text: DOI
Afanas’eva, S. S.; Bekker, B. M.; Vostokov, S. V. The Hilbert symbol in higher-dimensional local fields for formal Lubin-Tate groups. (English. Russian original) Zbl 1302.11093 J. Math. Sci., New York 192, No. 2, 137-153 (2013); translation from Zap. Nauchn. Sem. POMI 400, 20-49 (2012). MSC: 11S31 11S70 PDFBibTeX XMLCite \textit{S. S. Afanas'eva} et al., J. Math. Sci., New York 192, No. 2, 137--153 (2013; Zbl 1302.11093); translation from Zap. Nauchn. Sem. POMI 400, 20--49 (2012) Full Text: DOI
Vostokov, S. V. Shafarevich’s paper “A general reciprocity law”. (English. Russian original) Zbl 1283.11160 Sb. Math. 204, No. 6, 781-800 (2013); translation from Mat. Sb. 204, No. 6, 2-22 (2013). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11S31 11A15 11S15 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Sb. Math. 204, No. 6, 781--800 (2013; Zbl 1283.11160); translation from Mat. Sb. 204, No. 6, 2--22 (2013) Full Text: DOI
Lai, K. F.; Vostokov, S. V. The Kneser relation and the Hilbert pairing in multidimensional local field. (English) Zbl 1157.11045 Math. Nachr. 280, No. 16, 1780-1797 (2007). Reviewer: Zhang Xianke (Beijing) MSC: 11S31 11S70 19F05 19F15 PDFBibTeX XMLCite \textit{K. F. Lai} and \textit{S. V. Vostokov}, Math. Nachr. 280, No. 16, 1780--1797 (2007; Zbl 1157.11045) Full Text: DOI
Vostokov, S. V.; Zinoviev, A. N. Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification. (Russian, English) Zbl 1127.14042 Zap. Nauchn. Semin. POMI 338, 125-136 (2006); translation in J. Math. Sci., New York 145, No. 1, 4765-4772 (2007). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 14L05 11S31 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{A. N. Zinoviev}, Zap. Nauchn. Semin. POMI 338, 125--136 (2006; Zbl 1127.14042); translation in J. Math. Sci., New York 145, No. 1, 4765--4772 (2007) Full Text: Link
Vostokov, S. V.; Bekker, B. M. Distinguished isogenies for formal groups in local fields with small ramification. (Russian, English) Zbl 1146.11060 Zap. Nauchn. Semin. POMI 330, 93-100 (2006); translation in J. Math. Sci., New York 140, No. 5, 655-659 (2006). Reviewer: Gabriel D. Villa-Salvador (México D.F.) MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{B. M. Bekker}, Zap. Nauchn. Semin. POMI 330, 93--100 (2006; Zbl 1146.11060); translation in J. Math. Sci., New York 140, No. 5, 655--659 (2006) Full Text: DOI Link
Vostokov, S. V.; Pak, G. K. Norm series in high-dimensional local fields. (English. Russian original) Zbl 1140.11351 J. Math. Sci., New York 130, No. 3, 4675-4688 (2005); translation from Zap. Nauchn. Semin. POMI 305, 60-83 (2003). MSC: 11S31 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{G. K. Pak}, J. Math. Sci., New York 130, No. 3, 4675--4688 (2005; Zbl 1140.11351); translation from Zap. Nauchn. Semin. POMI 305, 60--83 (2003) Full Text: DOI
Bondarko, M. V.; Vostokov, S. V.; Lorenz, F. The Hilbert pairing for formal groups over \(\sigma\)-rings. (Russian, English) Zbl 1105.14061 Zap. Nauchn. Semin. POMI 319, 5-58 (2004); translation in J. Math. Sci., New York 134, No. 6, 2445-2476 (2006). Reviewer: Nikolai I. Osetinski (Moskva) MSC: 14L05 11S99 PDFBibTeX XMLCite \textit{M. V. Bondarko} et al., Zap. Nauchn. Semin. POMI 319, 5--58 (2004; Zbl 1105.14061); translation in J. Math. Sci., New York 134, No. 6, 2445--2476 (2006) Full Text: EuDML
Vostokov, S. V.; Lorenz, F. An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field. (English. Russian original) Zbl 1055.11073 Sb. Math. 194, No. 2, 165-197 (2003); translation from Mat. Sb. 194, No. 2, 3-36 (2003). Reviewer: Zhang Xianke (Beijing) MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{F. Lorenz}, Sb. Math. 194, No. 2, 165--197 (2003; Zbl 1055.11073); translation from Mat. Sb. 194, No. 2, 3--36 (2003)
Lorenz, Falko; Vostokov, Sergei Honda groups and explicit pairings on the modules of Cartier curves. (English) Zbl 1025.11037 Vostokov, S. (ed.) et al., Algebraic number theory and algebraic geometry. Papers dedicated to A. N. Parshin on the occasion of his sixtieth birthday. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 300, 143-170 (2002). Reviewer: H.Koch (Berlin) MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{F. Lorenz} and \textit{S. Vostokov}, Contemp. Math. 300, 143--170 (2002; Zbl 1025.11037)
Fesenko, I. B.; Vostokov, S. V. Local fields and their extensions. 2nd ed. (English) Zbl 1156.11046 Translations of Mathematical Monographs 121. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3259-X/hbk). xi, 345 p. (2002). Reviewer: Olaf Ninnemann (Berlin) MSC: 11Sxx 11-02 11S31 11S15 11S70 11S99 11S20 14G20 PDFBibTeX XMLCite \textit{I. B. Fesenko} and \textit{S. V. Vostokov}, Local fields and their extensions. 2nd ed. Providence, RI: American Mathematical Society (AMS) (2002; Zbl 1156.11046)
Belyaeva, T. B.; Vostokov, S. V. The Hilbert symbol in a complete multidimensional field. I. (English. Russian original) Zbl 1118.11050 J. Math. Sci., New York 120, No. 4, 1483-1500 (2004); translation from Zap. Nauchn. Semin. POMI 281, 5-34 (2001). MSC: 11S31 11S70 PDFBibTeX XMLCite \textit{T. B. Belyaeva} and \textit{S. V. Vostokov}, J. Math. Sci., New York 120, No. 4, 1483--1500 (2001; Zbl 1118.11050); translation from Zap. Nauchn. Semin. POMI 281, 5--34 (2001) Full Text: DOI
Vostokov, Sergei V. Explicit formulas for the Hilbert symbol. (English) Zbl 1008.11053 Fesenko, Ivan (ed.) et al., Invitation to higher local fields. Extended version of talks given at the conference on higher local fields, Münster, Germany, August 29-September 5, 1999. Coventry: Geometry and Topology Publications, Geom. Topol. Monogr. 3, 81-89 (2000). Reviewer: O.Ninnemann (Berlin) MSC: 11S31 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Geom. Topol. Monogr. 3, 81--89 (2000; Zbl 1008.11053) Full Text: EMIS
Lai, K. F.; Vostokov, S. V. Explicit pairing and the class field theory of multidimensional complete fields. (English. Russian original) Zbl 1103.11307 St. Petersbg. Math. J. 11, No. 4, 611-624 (2000); translation from Algebra Anal. 11, No. 4, 95-114 (1999). Reviewer: Olaf Ninnemann (Berlin) MSC: 11S31 11S70 19F05 PDFBibTeX XMLCite \textit{K. F. Lai} and \textit{S. V. Vostokov}, St. Petersbg. Math. J. 11, No. 4, 1 (1999; Zbl 1103.11307); translation from Algebra Anal. 11, No. 4, 95--114 (1999)
Bekker, B.; Bondarko, M.; Vostokov, S. Shafarevich bases in topological \(K\)-groups. (English. Russian original) Zbl 0916.11060 St. Petersbg. Math. J. 10, No. 2, 269-282 (1999); translation from Algebra Anal. 10, No. 2, 63-80 (1998). Reviewer: H.Koch (Berlin) MSC: 11S31 19F15 PDFBibTeX XMLCite \textit{B. Bekker} et al., St. Petersbg. Math. J. 10, No. 2, 63--80 (1998; Zbl 0916.11060); translation from Algebra Anal. 10, No. 2, 63--80 (1998)
Bondarko, M. V.; Vostokov, S. V. Decomposition of ideals in abelian \(p\)-extensions of complete discrete valuation fields. (English. Russian original) Zbl 0949.11059 J. Math. Sci., New York 95, No. 2, 2058-2064 (1999); translation from Zap. Nauchn. Semin. POMI 236, 23-33 (1997). Reviewer: Zhang Xianke (Beijing) MSC: 11S15 11R33 PDFBibTeX XMLCite \textit{M. V. Bondarko} and \textit{S. V. Vostokov}, J. Math. Sci., New York 95, No. 2, 1 (1997; Zbl 0949.11059); translation from Zap. Nauchn. Semin. POMI 236, 23--33 (1997) Full Text: DOI
Vostokov, S. V. \(K\)-group pairing of multidimensional complete fields. (Russian) Zbl 0853.11097 Tr. St-Peterbg. Mat. Obshch. 3, 140-184 (1995). Reviewer: A.N.Parshin (Moskva) MSC: 11S31 11S70 19F05 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Tr. St-Peterbg. Mat. Obshch. 3, 140--184 (1995; Zbl 0853.11097)
Vostokov, S. V. Hilbert pairing on a complete high-dimensional field. (English. Russian original) Zbl 0895.11050 Proc. Steklov Inst. Math. 208, 72-83 (1995); translation from Tr. Mat. Inst. Steklova 208, 80-92 (1995). Reviewer: Zhang Xianke (Beijing) MSC: 11S31 PDFBibTeX XMLCite \textit{S. V. Vostokov}, in: Number theory, algebra and algebraic geometry. Collected papers. In honor of the seventieth birthday of Academician Igor Rostislavovich Shafarevich. Moscow: Maik Nauka/Interperiodica Publishing. 72--83 (1995; Zbl 0895.11050); translation from Tr. Mat. Inst. Steklova 208, 80--92 (1995)
Vostokov, S. V. The pairing on \(K\)-groups in fields of valuation of rank \(n\). (English) Zbl 0873.11064 Ladyzhenskaya, O. A. (ed.), Proceedings of the St. Petersburg Mathematical Society. Vol. III. Transl. ed. by A. B. Sosinsky. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 166, 111-148 (1995). Reviewer: Zhang Xianke (Beijing) MSC: 11S70 11S31 19F05 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Transl., Ser. 2, Am. Math. Soc. 166, 111--148 (1995; Zbl 0873.11064)
Benois, D. G.; Vostokov, S. V. Galois representations in Honda’s formal groups. Arithmetic of the group of points. (English) Zbl 0817.11053 Ladyzhenskaya, O. A. (ed.), Proceedings of the St. Petersburg Mathematical Society. Volume II. Transl. ed. by Simeon Ivanov. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 159, 1-14 (1994). Reviewer: I.Fesenko (Heidelberg) MSC: 11S31 11S20 14L05 PDFBibTeX XMLCite \textit{D. G. Benois} and \textit{S. V. Vostokov}, Transl., Ser. 2, Am. Math. Soc. 159, 1--14 (1994; Zbl 0817.11053)
Benois, D. G.; Vostokov, S. V. Galois representations in Honda’s formal groups. Arithmetic of a group of points. (Russian) Zbl 0878.11041 Tr. St-Peterbg. Mat. Obshch. 2, 3-23 (1993). Reviewer: H.Koch (Berlin) MSC: 11S31 11S20 14L05 PDFBibTeX XMLCite \textit{D. G. Benois} and \textit{S. V. Vostokov}, Tr. St-Peterbg. Mat. Obshch. 2, 3--23 (1993; Zbl 0878.11041)
Fesenko, Ivan B.; Vostokov, S. V. Local fields and their extensions: a constructive approach. Translated from an original Russian manuscript by Ivan B. Fesenko; translation edited by Simeon Ivanov. (English) Zbl 0781.11042 Translations of Mathematical Monographs. 121. Providence, RI: American Mathematical Society (AMS). xv, 283 p. (1993). Reviewer: H.Koch (Berlin) MSC: 11Sxx 11S31 11-02 11S15 11S70 11S99 11S20 PDFBibTeX XMLCite \textit{I. B. Fesenko} and \textit{S. V. Vostokov}, Local fields and their extensions: a constructive approach. Translated from an original Russian manuscript by Ivan B. Fesenko; translation edited by Simeon Ivanov. Providence, RI: American Mathematical Society (1993; Zbl 0781.11042)
Benois, D. G.; Vostokov, S. V. 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.) (French) Zbl 0763.11045 J. Reine Angew. Math. 437, 131-166 (1993). Reviewer: D.G.Benois (St.Petersburg) MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{D. G. Benois} and \textit{S. V. Vostokov}, J. Reine Angew. Math. 437, 131--166 (1993; Zbl 0763.11045) Full Text: Crelle EuDML
Bekker, B. M.; Benois, D. G.; Vostokov, S. V.; Zhukov, I. B.; Smirnov, A. L.; Fesenko, I. B. On the Seminar “Constructive class field theory”. (English. Russian original) Zbl 0806.11003 St. Petersbg. Math. J. 4, No. 1, 175-192 (1993); translation from Algebra Anal. 4, No. 1, 177-193 (1992). Reviewer: A.N.Parshin (Moskva) MSC: 11-06 00B15 11S31 11G45 11S70 19F05 PDFBibTeX XMLCite \textit{B. M. Bekker} et al., St. Petersbg. Math. J. 4, No. 1, 175--192 (1992; Zbl 0806.11003); translation from Algebra Anal. 4, No. 1, 177--193 (1992)
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B. On the theory of higher-dimensional local fields. Methods and constructions. (English. Russian original) Zbl 0732.11066 Leningr. Math. J. 2, No. 4, 775-800 (1991); translation from Algebra Anal. 2, No. 4, 91-118 (1990). MSC: 11S31 11S70 19F05 11S15 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Leningr. Math. J. 2, No. 4, 775--800 (1991; Zbl 0732.11066); translation from Algebra Anal. 2, No. 4, 91--118 (1990)
Benois, D. G.; Vostokov, S. V. The norm pairing in formal groups, and Galois representations. (English. Russian original) Zbl 0743.11064 Leningr. Math. J. 2, No. 6, 1221-1249 (1991); translation from Algebra Anal. 2, No. 6, 69-97 (1990). MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{D. G. Benois} and \textit{S. V. Vostokov}, Leningr. Math. J. 2, No. 6, 1221--1249 (1990; Zbl 0743.11064); translation from Algebra Anal. 2, No. 6, 69--97 (1990)
Benois, D. G.; Vostokov, S. V. Normed pairing in formal groups and Galois representations. (Russian) Zbl 0724.11059 Algebra Anal. 2, No. 6, 69-97 (1990). Reviewer: A.N.Parshin (Moskva) MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{D. G. Benois} and \textit{S. V. Vostokov}, Algebra Anal. 2, No. 6, 69--97 (1990; Zbl 0724.11059)
Vostokov, S. V.; Zhukov, I. B.; Fesenko, I. B. On the theory of multidimensional local fields. Methods and constructions. (Russian) Zbl 0721.11054 Algebra Anal. 2, No. 4, 91-118 (1990). Reviewer: A.N.Parshin (Moskva) MSC: 11S31 19F05 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov} et al., Algebra Anal. 2, No. 4, 91--118 (1990; Zbl 0721.11054)
Vostokov, S. V. On an elementary Abelian \(p\)-extension of a multidimensional local field. (English. Russian original) Zbl 0736.11069 Proc. Steklov Inst. Math. 183, 53-64 (1991); translation from Tr. Mat. Inst. Steklova 183, 50-60 (1990). Reviewer: H.Koch (Berlin) MSC: 11S70 11S31 19D45 11S15 19F05 14L05 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Proc. Steklov Inst. Math. 183, 53--64 (1990; Zbl 0736.11069); translation from Tr. Mat. Inst. Steklova 183, 50--60 (1990)
Vostokov, S. V. Norm property of Hilbert pairing. (English. Russian original) Zbl 0744.11057 J. Sov. Math. 57, No. 6, 3462-3473 (1991); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 175, 30-45 (1989). MSC: 11S31 14L05 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov}, J. Sov. Math. 57, No. 6, 3462--3473 (1989; Zbl 0744.11057); translation from Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 175, 30--45 (1989) Full Text: DOI
Vostokov, S. V. On the norm of the Hilbert pairing property. (Russian) Zbl 0721.11053 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 175, 30-45 (1989). Reviewer: A.N.Parshin (Moskva) MSC: 11S31 14L05 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 175, 30--45 (1989; Zbl 0721.11053) Full Text: EuDML
Vostokov, S. V. Explicit construction of class field theory for a multidimensional local field. (English. Russian original) Zbl 0608.12017 Math. USSR, Izv. 26, 263-287 (1986); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 49, No. 2, 283-308 (1985). Reviewer: A. N. Parshin (Moskva) MSC: 11S31 18F25 19C30 11S70 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Math. USSR, Izv. 26, 263--287 (1986; Zbl 0608.12017); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 49, No. 2, 283--308 (1985) Full Text: DOI
Vostokov, S. V.; Kirillov, A. N. Norm pairing in a two-dimensional local field. (English) Zbl 0566.12006 J. Sov. Math. 30, 1847-1853 (1985). MSC: 11S31 11S70 12J25 12G05 18F25 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{A. N. Kirillov}, J. Sov. Math. 30, 1847--1853 (1985; Zbl 0566.12006) Full Text: DOI
Vostokov, S. V. On class field theory of a multidimensional local field. (English. Russian original) Zbl 0608.12018 Sov. Math., Dokl. 29, 87-88 (1984); translation from Dokl. Akad. Nauk SSSR 274, 780-782 (1984). Reviewer: A. N. Parshin (Moskva) MSC: 11S31 11S70 18F25 19C30 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Sov. Math., Dokl. 29, 87--88 (1984; Zbl 0608.12018); translation from Dokl. Akad. Nauk SSSR 274, 780--782 (1984)
Vostokov, S. V.; Letsko, V. A. Hilbert symbol in an extension of the field of 2-adic numbers. (English) Zbl 0529.12009 J. Sov. Math. 24, 423-426 (1984). MSC: 11S15 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{V. A. Letsko}, J. Sov. Math. 24, 423--426 (1984; Zbl 0529.12009) Full Text: DOI
Vostokov, S. V.; Kirillov, A. N. Norm pairing in a two-dimensional local field. (Russian) Zbl 0531.12014 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 132, 76-84 (1983). Reviewer: A. Parshin MSC: 11S31 11S70 12J25 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{A. N. Kirillov}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 132, 76--84 (1983; Zbl 0531.12014) Full Text: EuDML
Vostokov, S. V. Symbols on formal groups. (English) Zbl 0501.14027 Math. USSR, Izv. 19, 261-284 (1982). MSC: 11S31 11S70 14L05 19F15 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Math. USSR, Izv. 19, 261--284 (1982; Zbl 0501.14027) Full Text: DOI
Vostokov, S. V. Symbols on formal groups. (Russian) Zbl 0483.14011 Izv. Akad. Nauk SSSR, Ser. Mat. 45, 985-1014 (1981). Reviewer: S. V. Vostokov MSC: 11S31 11S70 14L05 19F15 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Izv. Akad. Nauk SSSR, Ser. Mat. 45, 985--1014 (1981; Zbl 0483.14011) Full Text: MNR
Vostokov, S. V. Normal basis for an ideal in a local ring. (English) Zbl 0462.12004 J. Sov. Math. 17, 1755-1758 (1981). MSC: 11S45 11S20 PDFBibTeX XMLCite \textit{S. V. Vostokov}, J. Sov. Math. 17, 1755--1758 (1981; Zbl 0462.12004) Full Text: DOI
Vostokov, S. V.; Letsko, V. A. The Hilbert symbol in an extension of the field of 2-adic numbers. (Russian) Zbl 0468.12010 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 103, 58-61 (1980). MSC: 11S15 PDFBibTeX XMLCite \textit{S. V. Vostokov} and \textit{V. A. Letsko}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 103, 58--61 (1980; Zbl 0468.12010) Full Text: EuDML
Vostokov, S. V. A norm pairing in formal modules. (English. Russian original) Zbl 0463.12008 Math. USSR, Izv. 15, 25-51 (1980); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 43, 765-794 (1979). Reviewer: G. Angermüller MSC: 11S31 14L05 PDFBibTeX XMLCite \textit{S. V. Vostokov}, Math. USSR, Izv. 15, 25--51 (1980; Zbl 0463.12008); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 43, 765--794 (1979) Full Text: DOI
Vostokov, S. V. Ideals of an Abelian p-extension of a local field as Galois modules. (English) Zbl 0403.12017 J. Sov. Math. 11, 567-584 (1979). MSC: 11S15 11S45 11S20 PDFBibTeX XMLCite \textit{S. V. Vostokov}, J. Sov. Math. 11, 567--584 (1979; Zbl 0403.12017) Full Text: DOI
Vostokov, S. V. Ideals of an abelian p-extension of an irregular local field as Galois modules. (English) Zbl 0396.12016 J. Sov. Math. 9, 299-317 (1978). MSC: 11S15 11S45 PDFBibTeX XMLCite \textit{S. V. Vostokov}, J. Sov. Math. 9, 299--317 (1978; Zbl 0396.12016) Full Text: DOI