On the periodicity of continued fractions in hyperelliptic fields
- Autores: Platonov V.1, Fedorov G.1
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Afiliações:
- Scientific Research Institute of System Analysis
- Edição: Volume 95, Nº 3 (2017)
- Páginas: 254-258
- Seção: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225094
- DOI: https://doi.org/10.1134/S106456241703019X
- ID: 225094
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Resumo
On the basis of a given criterion for the quasi-periodicity of continued fractions for elements of the hyperelliptic field L = K(x)(\(\sqrt f \)), where K is an arbitrary field of characteristic different from 2 and f ∈ K[x] is a square-free polynomial, new polynomials f ∈ Q[x] of odd degree for which the elements of \(\sqrt f \) have periodic continued fraction expansion are found.
Sobre autores
V. Platonov
Scientific Research Institute of System Analysis
Autor responsável pela correspondência
Email: platonov@niisi.ras.ru
Rússia, Moscow, 117218
G. Fedorov
Scientific Research Institute of System Analysis
Email: platonov@niisi.ras.ru
Rússia, Moscow, 117218