On the problem of periodicity of continued fraction expansions of \( \sqrt f \) for cubic polynomials over number fields
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Publication:2243768
DOI10.1134/S1064562420040249zbMath1474.11127OpenAlexW3132480195MaRDI QIDQ2243768
V. S. Zhgoon, M. M. Petrunin, Vladimir Platonov
Publication date: 11 November 2021
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562420040249
Arithmetic theory of algebraic function fields (11R58) Units and factorization (11R27) Continued fractions and generalizations (11J70)
Related Items (4)
On the problem of periodicity of continued fraction expansions of for cubic polynomials over algebraic number fields ⋮ New results on the periodicity problem for continued fractions of elements of hyperelliptic fields ⋮ On the finiteness of the number of expansions into a continued fraction of \( \sqrt f\) for cubic polynomials over algebraic number fields ⋮ On the periodicity problem for the continued fraction expansion of elements of hyperelliptic fields with fundamental \(S\)-units of degree at most 11
Cites Work
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- Rational isogenies of prime degree. (With an appendix by D. Goldfeld)
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- On the finiteness of the number of elliptic fields with given degrees of \(S\)-units and periodic expansion of \( \sqrt f\)
- Torsion points on elliptic curves defined over quadratic fields
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- On the problem of periodicity of continued fractions in hyperelliptic fields
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- Constructing elliptic curves over finite fields with prescribed torsion
- ON THE TORSION OF ELLIPTIC CURVES OVER QUARTIC NUMBER FIELDS
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