A. Zaharescu

activity

19992025

most citedThe distribution of spacings between the fractional parts of

n^{2} α

108 citations · 307 across the 89 of their papers we have counts for

collaborators

Showing 2025Show all

4 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 denominators of consecutive $SL (2, N)$ -saturated Farey fractions

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

The sequence $(S_{Q})_{Q}$ of $SL (2, N)$ -saturated Farey fractions was defined in our previous work by ${\mathscr S}_Q := \{ a/q \in {\mathbb Q} \cap…

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

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}…

Twisted aughts of alternating involutions

On denominators of consecutive SL(2,N)-saturated Farey fractions

Pattern formation Statistics on Fermat Quotients

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

On denominators of consecutive $SL (2, N)$ -saturated Farey fractions

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