$Coding of geodesics on some modular surfaces and applications to odd and even continued fractions$

Coding of geodesics on some modular surfaces and applications to odd and even continued fractions

The connection between geodesics on the modular surface PSL(2,Z)∖H and regular continued fractions, established by Series, is extended to a connection between geodesics on Γ∖H and odd and grotesque continued fractions, where Γ≅Z3∗Z3 is the index two subgroup of PSL(2,Z) generated by the order three...

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Veröffentlicht in:	Indagationes mathematicae 2018-10, Vol.29 (5), p.1214-1234
Hauptverfasser:	Boca, Florin P., Merriman, Claire
Format:	Artikel
Sprache:	eng
Schlagworte:	Coding theory Even continued fractions Fractions Geodesics coding Geodesy Modular surface Number theory Odd continued fractions Quadrilaterals Subgroups Theorems
Online-Zugang:	Volltext
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