Distribution of the reduced quadratic irrationals arising from the odd continued fraction expansion
نویسندگان
چکیده
This paper investigates the quadratic irrationals that arise as periodic points of Gauss type shift associated to odd continued fraction expansion. It is shown these numbers, which we call O-reduced, when ordered by length closed primitive geodesic on some modular surface Γ∖H, are equidistributed with respect Lebesgue absolutely continuous invariant probability measure Odd shift.
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 2022
ISSN: ['0019-3577', '1872-6100']
DOI: https://doi.org/10.1016/j.indag.2022.07.003