Continued rational fractions in hyperelliptic fields and the Mumford representation
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Publication:521430
DOI10.1134/S1064562416060284zbMath1403.11071MaRDI QIDQ521430
V. S. Zhgoon, G. V. Fedorov, Vladimir Platonov
Publication date: 11 April 2017
Published in: Doklady Mathematics (Search for Journal in Brave)
Arithmetic theory of algebraic function fields (11R58) Continued fractions and generalizations (11J70) Special divisors on curves (gonality, Brill-Noether theory) (14H51) Algebraic functions and function fields in algebraic geometry (14H05)
Related Items (16)
On the problem of periodicity of continued fraction expansions of for cubic polynomials over algebraic number fields ⋮ \(S\)-units and periodicity of square root in hyperelliptic fields ⋮ On the periodicity of continued fractions in hyperelliptic fields ⋮ On the problem of periodicity of continued fractions in hyperelliptic fields ⋮ ОБОБЩЕННЫЕ ЯКОБИАНЫ И НЕПРЕРЫВНЫЕ ДРОБИ В ГИПЕРЭЛЛИПТИЧЕСКИХ ПОЛЯХ ⋮ О НЕКОТОРЫХ СВОЙСТВАХ НЕПРЕРЫВНЫХ ПЕРИОДИЧЕСКИХ ДРОБЕЙ С НЕБОЛЬШОЙ ДЛИНОЙ ПЕРИОДА, СВЯЗАННЫХ С ГИПЕРЭЛЛИПТИЧЕСКИМИ ПОЛЯМИ И S-ЕДИНИЦАМИ ⋮ Periodicity criterion for continued fractions of key elements in hyperelliptic fields ⋮ Периодические непрерывные дроби и $S$-единицы с нормированиями второй степени в гиперэллиптических полях ⋮ On -units for valuations of the second degree in hyperelliptic fields ⋮ On the periodicity of continued fractions in hyperelliptic fields over quadratic constant field ⋮ Unnamed Item ⋮ Vladimir Petrovich Platonov ⋮ Groups of \(S\)-units and the problem of periodicity of continued fractions in hyperelliptic fields ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On \(S\)-units for linear valuations and the periodicity of continued fractions of generalized type in hyperelliptic fields
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