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Hilbert pairing for the polynomial formal groups. / Vostokov, S.V.; Ferens-Sorotskiy, E.V.

In: Vestnik St. Petersburg University: Mathematics, Vol. 43, No. 1, 2010, p. 18-22.

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Harvard

Vostokov, SV & Ferens-Sorotskiy, EV 2010, 'Hilbert pairing for the polynomial formal groups', Vestnik St. Petersburg University: Mathematics, vol. 43, no. 1, pp. 18-22. https://doi.org/10.3103/S1063454110010048

APA

Vostokov, S. V., & Ferens-Sorotskiy, E. V. (2010). Hilbert pairing for the polynomial formal groups. Vestnik St. Petersburg University: Mathematics, 43(1), 18-22. https://doi.org/10.3103/S1063454110010048

Vancouver

Vostokov SV, Ferens-Sorotskiy EV. Hilbert pairing for the polynomial formal groups. Vestnik St. Petersburg University: Mathematics. 2010;43(1):18-22. https://doi.org/10.3103/S1063454110010048

Author

Vostokov, S.V. ; Ferens-Sorotskiy, E.V. / Hilbert pairing for the polynomial formal groups. In: Vestnik St. Petersburg University: Mathematics. 2010 ; Vol. 43, No. 1. pp. 18-22.

BibTeX

@article{121b2ba7254e41aaadc67d61b5bc7f4c,
title = "Hilbert pairing for the polynomial formal groups",
abstract = "Abstract The work is devoted to a wide class of formal groups, the ones given by polynomials, and to their relation to the Hilbert pairing. For the latter an explicit formula is obtained. The basic definitions are introduced in the work and the principal results are formulated, with the brief plans of proofs given for them. The detailed proofs are going to be given in the next work. {\textcopyright} 2010 Allerton Press, Inc. References Honda, T. (1970) J. Math. Soc. Japan, 22 (1), pp. 213-246. Hazewinkel, M. (1978) Formal Groups and Applications, New York: Academic Bondarko, M.V., Vostokov, S.V. (2003) Proc. Steklov Inst. Math, 241, pp. 35-57. Vostokov, S.V. (1980) Math. USSR-Izvestiya, 15 (1), pp. 25-51. Fesenko, I., Vostokov, S.V. (1993) Local Fields and Their Extensions: A Constructive Approach, Providence, RI: Am. Math. Soc Kolyvagin, V.A. (1980) Math. USSR-Izvestiya, 15 (2), pp. 289-348. Shafarevich, I.R. (1950) Mat. Sb. (N.S.), 2 (68), pp. 113-146.",
author = "S.V. Vostokov and E.V. Ferens-Sorotskiy",
year = "2010",
doi = "10.3103/S1063454110010048",
language = "English",
volume = "43",
pages = "18--22",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Hilbert pairing for the polynomial formal groups

AU - Vostokov, S.V.

AU - Ferens-Sorotskiy, E.V.

PY - 2010

Y1 - 2010

N2 - Abstract The work is devoted to a wide class of formal groups, the ones given by polynomials, and to their relation to the Hilbert pairing. For the latter an explicit formula is obtained. The basic definitions are introduced in the work and the principal results are formulated, with the brief plans of proofs given for them. The detailed proofs are going to be given in the next work. © 2010 Allerton Press, Inc. References Honda, T. (1970) J. Math. Soc. Japan, 22 (1), pp. 213-246. Hazewinkel, M. (1978) Formal Groups and Applications, New York: Academic Bondarko, M.V., Vostokov, S.V. (2003) Proc. Steklov Inst. Math, 241, pp. 35-57. Vostokov, S.V. (1980) Math. USSR-Izvestiya, 15 (1), pp. 25-51. Fesenko, I., Vostokov, S.V. (1993) Local Fields and Their Extensions: A Constructive Approach, Providence, RI: Am. Math. Soc Kolyvagin, V.A. (1980) Math. USSR-Izvestiya, 15 (2), pp. 289-348. Shafarevich, I.R. (1950) Mat. Sb. (N.S.), 2 (68), pp. 113-146.

AB - Abstract The work is devoted to a wide class of formal groups, the ones given by polynomials, and to their relation to the Hilbert pairing. For the latter an explicit formula is obtained. The basic definitions are introduced in the work and the principal results are formulated, with the brief plans of proofs given for them. The detailed proofs are going to be given in the next work. © 2010 Allerton Press, Inc. References Honda, T. (1970) J. Math. Soc. Japan, 22 (1), pp. 213-246. Hazewinkel, M. (1978) Formal Groups and Applications, New York: Academic Bondarko, M.V., Vostokov, S.V. (2003) Proc. Steklov Inst. Math, 241, pp. 35-57. Vostokov, S.V. (1980) Math. USSR-Izvestiya, 15 (1), pp. 25-51. Fesenko, I., Vostokov, S.V. (1993) Local Fields and Their Extensions: A Constructive Approach, Providence, RI: Am. Math. Soc Kolyvagin, V.A. (1980) Math. USSR-Izvestiya, 15 (2), pp. 289-348. Shafarevich, I.R. (1950) Mat. Sb. (N.S.), 2 (68), pp. 113-146.

U2 - 10.3103/S1063454110010048

DO - 10.3103/S1063454110010048

M3 - Article

VL - 43

SP - 18

EP - 22

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 5496134