3 papers
math.NT2026
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.NT2025
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…