38 citations · 62 across the 4 of their papers we have counts for
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math.NT2002
On the index of Farey sequences
F. P. Boca, R. N. Gologan, A. Zaharescu
We prove some asymptotic formulae concerning the distribution of the index of Farey fractions of order Q as .
math.NT2001★ 38 cited
The statistics of the trajectory in a certain billiard in a flat two-torus
Florin P. Boca, Radu N. Gologan, Alexandru Zaharescu
We consider a billiard in the punctured torus obtained by removing a small disk from the two-dimensional flat torus, with trajectory starting from the center of the puncture. In th…
math.NT2001★ 21 cited
The average length of a trajectory in a certain billiard in a flat two-torus
Florin P. Boca, Radu N. Gologan, Alexandru Zaharescu
We remove a small disc from the flat two-dimensional torus and consider a point-like particle that starts moving from the center of the disc with linear trajectory. We provide asym…