P. Tiebekabe

collaborators

5 papers

math.NT2026

Powers as Fibonacci Sums

Benjamin Earp-Lynch, Simon Earp-Lynch, Omar Kihel +1

We examine the equation $y^{a} = i = 1 \sum k F_{n_{i}}$ for positive integers $y, a \geq 2$ and $k \geq 3$ . This equation can be expressed as a problem in terms of the Zeckendor…

math.GM2026

Sums of three Fibonacci numbers as concatenations of three repdigits in base $b$

PassimzouwÃ© Dagou, Pagdame Tiebekabe, KouÃ¨ssi Norbert AdÃ©dji +1

In this paper, we investigate sums of three Fibonacci numbers that can be expressed as concatenations of three repdigits in base $b$ , where $b \geq 2$ is an integer. We prove that fo…

math.GM2025

On Narayana numbers which are products of four $b$ -repdigits with a consequence

PassimzouwÃ© Dagou, Pagdame Tiebekabe, Kokou Tcharie

In this paper, we focus on Narayana numbers which can be written as a products of four repdigits in base $g$ , where $g$ is an integer with $g \geq 2$ . We prove that for $g$ between $…

math.NT2025

On the monogenity of pure number fields: application to the existence of canonical number systems

Hamid Ben Yakkou, Brahim Boudine, Pagdame Tiebekabe

Let $m$ be a rational integer with $m \neq = 0, \pm 1$ , and consider the pure number field $K = Q (n m)$ with $n \geq 3$ . Most papers discussing the monogenity of pure…

math.GM2025

Generalized Diophantine Approximation on Higher-Dimensional Varieties

Pagdame Tiebekabe

We establish new uniform height inequalities for rational points on higher-dimensional varieties, extending the classical Roth-Schmidt-Subspace paradigm to the Arakelov-theoretic s…