On the periodicity of continued fractions in elliptic fields

Article [1] raised the question of the finiteness of the number of square-free polynomials f ∈ ℚ[ h ] of fixed degree for which f has periodic continued fraction expansion in the field ℚ(( h )) and the fields ℚ( h )( f ) are not isomorphic to one another and to fields of the form ℚ( h ) ( c h n + 1...

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Veröffentlicht in:	Doklady. Mathematics 2017-07, Vol.96 (1), p.332-335
Hauptverfasser:	Platonov, V. P., Fedorov, G. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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