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On Certain Multiplicative Structures on Cubic Extensions. / Antipov, M. A.; Pimenov, K. I.

In: Journal of Mathematical Sciences (United States), Vol. 243, No. 4, 01.12.2019, p. 505-514.

Research output: Contribution to journalArticlepeer-review

Harvard

Antipov, MA & Pimenov, KI 2019, 'On Certain Multiplicative Structures on Cubic Extensions', Journal of Mathematical Sciences (United States), vol. 243, no. 4, pp. 505-514. https://doi.org/10.1007/s10958-019-04552-y

APA

Vancouver

Antipov MA, Pimenov KI. On Certain Multiplicative Structures on Cubic Extensions. Journal of Mathematical Sciences (United States). 2019 Dec 1;243(4):505-514. https://doi.org/10.1007/s10958-019-04552-y

Author

Antipov, M. A. ; Pimenov, K. I. / On Certain Multiplicative Structures on Cubic Extensions. In: Journal of Mathematical Sciences (United States). 2019 ; Vol. 243, No. 4. pp. 505-514.

BibTeX

@article{9a5fa31ee08448fda2c55437b67eb8f4,
title = "On Certain Multiplicative Structures on Cubic Extensions",
abstract = "Multiplicative properties of a certain correspondence between the elements of a cyclic cubic extension of rational number field and elements in a suitable pure cubic extension are investigated. The case of Shanks cubic polynomial is considered to connect the multiplication of pure cubic irrational and the summation of points of an associated elliptic curve.",
author = "Antipov, {M. A.} and Pimenov, {K. I.}",
year = "2019",
month = dec,
day = "1",
doi = "10.1007/s10958-019-04552-y",
language = "English",
volume = "243",
pages = "505--514",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - On Certain Multiplicative Structures on Cubic Extensions

AU - Antipov, M. A.

AU - Pimenov, K. I.

PY - 2019/12/1

Y1 - 2019/12/1

N2 - Multiplicative properties of a certain correspondence between the elements of a cyclic cubic extension of rational number field and elements in a suitable pure cubic extension are investigated. The case of Shanks cubic polynomial is considered to connect the multiplication of pure cubic irrational and the summation of points of an associated elliptic curve.

AB - Multiplicative properties of a certain correspondence between the elements of a cyclic cubic extension of rational number field and elements in a suitable pure cubic extension are investigated. The case of Shanks cubic polynomial is considered to connect the multiplication of pure cubic irrational and the summation of points of an associated elliptic curve.

UR - http://www.scopus.com/inward/record.url?scp=85074474379&partnerID=8YFLogxK

U2 - 10.1007/s10958-019-04552-y

DO - 10.1007/s10958-019-04552-y

M3 - Article

AN - SCOPUS:85074474379

VL - 243

SP - 505

EP - 514

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 52615115