3 citations · 3 across the 5 of their papers we have counts for
5 papers
On the Gauss-Kuzmin-Lévy problem for nearest integer continued fractions
Florin P. Boca, Maria Siskaki
This note provides an effective bound in the Gauss-Kuzmin-Lévy problem for some Gauss type shifts associated with nearest integer continued fractions, acting on the interval $I_0=[…
A note on the pair correlation of Farey fractions
Florin P. Boca, Maria Siskaki
The pair correlations of Farey fractions with denominators satisfying , respectively with , are shown to exist and are explicitly compute…
Distribution of the reduced quadratic irrationals arising from the odd continued fraction expansion
Maria Siskaki
This paper investigates the quadratic irrationals that arise as periodic points of the Gauss type shift associated to the odd continued fraction expansion. It is shown that these n…
Distribution of periodic points of certain Gauss shifts with infinite invariant measure
Florin P. Boca, Maria Siskaki
This paper investigates the periodic points of the Gauss type shifts associated to the even continued fraction (Schweiger) and to the backward continued fraction (Rényi). We show t…
Boundedness of derivatives and anti-derivatives of holomorphic functions as a rare phenomenon
Maria Siskaki
In this article we prove a general result which in particular suggests that, on a simply connected domain in C, all the derivatives and anti-derivatives of the generic holomorphic…