Email this article On Certain Multiplicative Structures on Cubic Extensions
- Authors: Antipov M.A.1, Pimenov K.I.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 243, No 4 (2019)
- Pages: 505-514
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/243110
- DOI: https://doi.org/10.1007/s10958-019-04552-y
- ID: 243110
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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.
About the authors
M. A. Antipov
St.Petersburg State University
Author for correspondence.
Email: hyperbor@list.ru
Russian Federation, St.Petersburg
K. I. Pimenov
St.Petersburg State University
Email: hyperbor@list.ru
Russian Federation, St.Petersburg
