activity
19992025
most citedThe distribution of spacings between the fractional parts of

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

collaborators

102 papers

math.NT2025

Twisted aughts of alternating involutions

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

Let be the subgroup of generated by the particular involutions that are identical to the identity, except for a single line where and …

math.NT2025

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

Pattern formation Statistics on Fermat Quotients

Cristian Cobeli, Alexandru Zaharescu, Zhuo Zhang

Despite their simple definition as , for and , and their regular arrangement in a Fer…

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.NT2024

On non-holonomicity, transcendence and -adic valuations

Cristian Cobeli, Mihai Prunescu, Alexandru Zaharescu

Let be the p-adic valuation of . We show that the power series with coefficients , respectively , are non-holonomic and not algebraic…

math.NT2024

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…