An effective criterion for periodicity of l-adic continued fractions

The theory of continued fractions has been generalized to l-adic numbers by several authors and presents many differences with respect to the real case. In the present paper we investigate the expansion of rationals and quadratic irrationals for the l-adic continued fractions introduced by Ruban. In...

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Veröffentlicht in:	arXiv.org 2018-11
Hauptverfasser:	Capuano, Laura, Veneziano, Francesco, Zannier, Umberto
Format:	Artikel
Sprache:	eng
Schlagworte:	Irrationality Mathematics - Number Theory Numbers Periodic variations Qualitative reasoning
Online-Zugang:	Volltext
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