Groups of S-Units and the Problem of Periodicity of Continued Fractions in Hyperelliptic Fields

We construct a theory of periodic and quasiperiodic functional continued fractions in the field k (( h )) for a linear polynomial h and in hyperelliptic fields. In addition, we establish a relationship between continued fractions in hyperelliptic fields, torsion in the Jacobians of the corresponding...

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Veröffentlicht in:	Proceedings of the Steklov Institute of Mathematics 2018-08, Vol.302 (1), p.336-357
Hauptverfasser:	Platonov, V. P., Petrunin, M. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Jacobians Mathematics Mathematics and Statistics Periodic variations Polynomials Torsion
Online-Zugang:	Volltext
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