arXiv subjects
Publications and source records attributed to Elena Zhabitskaya.
Consider the representation of a rational number as a continued fraction, associated with "odd" Euclidean algorithm. In this paper we prove certain properties for the limit distribution function for sequences of rationals with bounded sum of partial quotients
Consider the representation of a rational number in the form, associated with "centered" Euclidean algorithm. We prove a new formula for the limit distribution function for sequences of rationals with bounded sum of partial quotients.
R.F.Tichy and J.Uitz introduced a one parameter family $g_λ$, $λ\in (0,1)$, of singular functions. When $λ=1/2$ the function $g_λ$ coincides with the famous Minkowski question mark function. In this paper we describe the arithmetical nature of the function $g_λ$ when $λ= \frac{3-\sqrt{5}}{2}$.