most citedPeriodicity of general multidimensional continued fractions using repetend matrix form

3 citations · 3 across the 1 of their papers we have counts for

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math.NT2023★ 3 cited

Periodicity of general multidimensional continued fractions using repetend matrix form

Hanka Řada, Štěpán Starosta, Vítězslav Kala

We consider expansions of vectors by a general class of multidimensional continued fraction algorithms. If the expansion is eventually periodic, then we describe the possible struc…

math.NT2019

Bounds on the period of the continued fraction after a Möbius transformation

Hanka Řada, Štěpán Starosta

We study Möbius transformations (also known as linear fractional transformations) of quadratic numbers. We construct explicit upper and lower bounds on the period of the continued…