Institut de Mathématiques de Luminy

Abstract 2004-12

Karpenkov Oleg.
On some new approach to constructing periodic continued fractions.

The main idea of this paper is to introduce a new method of constructing the fondamental domains of multidimensional periodic continued fractions. We consider a geometric generalization of ordinary continued fraction to the multidimensional case. F. Klein introduced this generalization in 1895 in his work [6] and [7].


Last update : july 7, 2004, EL.