Publikace

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

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.

Za obsah této stránky zodpovídá: prof. Ing. arch. Petr Vorlík, Ph.D.