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Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II. / Vostokov, S. V.; Volkov, V. V.

In: Journal of Mathematical Sciences (United States), Vol. 222, No. 4, 01.04.2017, p. 394-403.

Research output: Contribution to journal › Article › peer-review

Harvard

Vostokov, SV & Volkov, VV 2017, 'Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II', Journal of Mathematical Sciences (United States), vol. 222, no. 4, pp. 394-403. https://doi.org/10.1007/s10958-017-3310-y

APA

Vostokov, S. V., & Volkov, V. V. (2017). Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II. Journal of Mathematical Sciences (United States), 222(4), 394-403. https://doi.org/10.1007/s10958-017-3310-y

Vancouver

Vostokov SV, Volkov VV. Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II. Journal of Mathematical Sciences (United States). 2017 Apr 1;222(4):394-403. https://doi.org/10.1007/s10958-017-3310-y

Author

Vostokov, S. V. ; Volkov, V. V. / Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II. In: Journal of Mathematical Sciences (United States). 2017 ; Vol. 222, No. 4. pp. 394-403.

BibTeX

@article{4b1618cb480247acab489cf0334f7be2,
title = "Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II",
abstract = "The paper presents an explicit formula for the Hilbert pairing between the Milnor K-group of a higher-dimensional local field and a polynomial formal module. This formula generalizes similar results for the one-dimensional case and the higher-dimensional case of multiplicative group. The case where the field and its first residue field have different characteristics, is considered. Bibliography: 13 titles.",
author = "Vostokov, {S. V.} and Volkov, {V. V.}",
note = "Vostokov, S.V., Volkov, V.V. Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II. J Math Sci 222, 394–403 (2017). https://doi.org/10.1007/s10958-017-3310-y",
year = "2017",
month = apr,
day = "1",
doi = "10.1007/s10958-017-3310-y",
language = "English",
volume = "222",
pages = "394--403",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II

AU - Vostokov, S. V.

AU - Volkov, V. V.

N1 - Vostokov, S.V., Volkov, V.V. Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II. J Math Sci 222, 394–403 (2017). https://doi.org/10.1007/s10958-017-3310-y

PY - 2017/4/1

Y1 - 2017/4/1

N2 - The paper presents an explicit formula for the Hilbert pairing between the Milnor K-group of a higher-dimensional local field and a polynomial formal module. This formula generalizes similar results for the one-dimensional case and the higher-dimensional case of multiplicative group. The case where the field and its first residue field have different characteristics, is considered. Bibliography: 13 titles.

AB - The paper presents an explicit formula for the Hilbert pairing between the Milnor K-group of a higher-dimensional local field and a polynomial formal module. This formula generalizes similar results for the one-dimensional case and the higher-dimensional case of multiplicative group. The case where the field and its first residue field have different characteristics, is considered. Bibliography: 13 titles.

UR - http://www.scopus.com/inward/record.url?scp=85014745972&partnerID=8YFLogxK

U2 - 10.1007/s10958-017-3310-y

DO - 10.1007/s10958-017-3310-y

M3 - Article

AN - SCOPUS:85014745972

VL - 222

SP - 394

EP - 403

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 38480920