activity
19982025
most citedThe statistics of the trajectory in a certain billiard in a flat two-torus

38 citations · 147 across the 28 of their papers we have counts for

collaborators

32 papers

math.NT2025

On denominators of consecutive -saturated Farey fractions

Jack Anderson, Florin P. Boca, Cristian Cobeli +1

The sequence of -saturated Farey fractions was defined in our previous work by ${\mathscr S}_Q := \{ a/q \in {\mathbb Q} \cap…

math.NT2025

On the distribution of -saturated Farey fractions

Jack Anderson, Florin P. Boca, Cristian Cobeli +1

We consider the set of Farey fractions of order with the property that there exists a matrix $\left( \begin{smallmatrix} a & b \\ c & d \end{smallmatrix}…

math.NT2023

Angular distribution towards the points of the neighbor-flips modular curve seen by a fast moving observer

Jack Anderson, Florin P. Boca, Cristian Cobeli +1

Let be a fixed non-zero integer. For every and every prime , consider the angles between rays from an observer located at the point on the…

math.NT2023

Distribution of angles to lattice points seen from a fast moving observer

Jack Anderson, Florin P. Boca, Cristian Cobeli +1

We consider a square expanding with constant speed seen from an observer moving away with constant acceleration and study the distribution of angles between rays from the observer…

math.NT2022

Factors of type III and the distribution of prime numbers

Florin P. Boca, Alexandru Zaharescu

This version of the paper corrects an inaccuracy in the proof of Theorem 2.9 in the published version. The main results remain unchanged.

math.NT2022

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=[…