Matrix Form of Multidimensional Continued Fractions
Autoři
Rok
2022
Publikováno
Doktorandské dny 2022. Praha: CTU. Faculty of Nuclear Sciences and Physical Engineering, 2022. p. 113-124.
Typ
Stať ve sborníku
Pracoviště
Bounds on the period of the continued fraction after a Möbius transformation
Autoři
Rok
2020
Publikováno
Journal of Number Theory. 2020, 212 122-172. ISSN 0022-314X.
Typ
Článek
Pracoviště
Anotace
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 fraction expansion of a transformed number as a function of the period of the continued fraction expansion of the original number. We provide examples that show that the bound is sharp.