On the classification problem for polynomials with a periodic continued fraction expansion of in hyperelliptic fields

DOI10.1070/IM9098zbMath1483.11123MaRDI QIDQ5862186

G. V. Fedorov, Vladimir Platonov

Publication date: 7 March 2022

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic curvescomputer algebracontinued fractionsJacobian varietysymbolic calculationsdivisor class grouphyperelliptic fieldsperiodicity problem

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Continued fractions and generalizations (11J70) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Elliptic and modular units (11G16)

Related Items (4)

On the finiteness of the set of generalized Jacobians with nontrivial torsion points over algebraic number fields ⋮ Continued fractions and the classification problem for elliptic fields over quadratic fields of constants ⋮ Unnamed Item ⋮ On the problem of describing elements of elliptic fields with a periodic expansion into a continued fraction over quadratic fields

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