4 papers
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…
Arithmetic Polygons and Sums of Consecutive Squares
Jack Anderson, Amy Woodall, Alexandru Zaharescu
We introduce and study arithmetic polygons. We show that these arithmetic polygons are connected to triples of square pyramidal numbers. For every odd , we prove that there…
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}…
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…