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- Title
On the Problem of Describing Elements of Elliptic Fields with a Periodic Expansion into a Continued Fraction over Quadratic Fields.
- Authors
Fedorov, G. V.
- Abstract
For all possible quadratic number fields K, we obtain a description of square-free polynomials of degree 4 such that has a periodic expansion into a continued fraction in the field of formal power series , while the elliptic field has a fundamental S-unit of degree , , , where the set S consists of two conjugate valuations defined on the field and related to the uniformizer x of the field K(x).
- Subjects
QUADRATIC fields; CONTINUED fractions; POWER series; QUADRATIC equations; POLYNOMIALS; EIGENVALUES
- Publication
Doklady Mathematics, 2022, Vol 106, Issue 1, p259
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562422040081