Jack Anderson

activity

20232025

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3 papers · 1 filter

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 $h$ be a fixed non-zero integer. For every $t \in R_{+}$ and every prime $p$ , consider the angles between rays from an observer located at the point $(- t J_{p}^{2}, 0)$ on the…

math.CO2023

Counterintuitive patterns on angles and distances between lattice points in high dimensional hypercubes

Jack Anderson, Cristian Cobeli, Alexandru Zaharescu

Let $S$ be a finite set of integer points in $R^{d}$ , which we assume has many symmetries, and let $P \in R^{d}$ be a fixed point. We calculate the distances…

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…