C. Cobeli

activity

20242026

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5 papers · 1 filter

math.NT2025

Twisted aughts of alternating involutions

Raghavendra N. Bhat, Cristian Cobeli, Shuta Iwai +2

Let $M (n)$ be the subgroup of $G L (n, Z)$ generated by the particular involutions that are identical to the identity, except for a single line where $- 1$ and $+ 1$ …

math.NT2025

On the distribution of $SL (2, N)$ -saturated Farey fractions

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

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

math.NT2025

Pattern formation Statistics on Fermat Quotients

Cristian Cobeli, Alexandru Zaharescu, Zhuo Zhang

Despite their simple definition as $q_{p} (b) := \frac{b ^{p - 1} - 1}{p} (mod p)$ , for $0 \leq b \leq p^{2} - 1$ and $g cd (b, p) = 1$ , and their regular arrangement in a $p \times (p - 1)$ Fer…

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 $h$ 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.NT2025

On the central ball in a translation invariant involutive field

Cristian Cobeli, Aaditya Raghavan, Alexandru Zaharescu

The iterated composition of two operators, both of which are involutions and translation invariant, partitions the set of lattice points in the plane into an infinite sequence of d…

Twisted aughts of alternating involutions

On the distribution of SL(2,N)-saturated Farey fractions

Pattern formation Statistics on Fermat Quotients

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

On the central ball in a translation invariant involutive field

On the distribution of $SL (2, N)$ -saturated Farey fractions