P. Tiebekabe

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20242026

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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.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.NT2024

Narayana's cows numbers which are concatenations of three repdigits in base $I ¨ $

Narayana's sequence is a ternary recurrent sequence defined by the recurrence relation $N_{n} = N_{n - 1} + N_{n - 3}$ with initial terms $N_{0} = 0$ and…

Powers as Fibonacci Sums

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

Narayana's cows numbers which are concatenations of three repdigits in base I¨

Narayana's cows numbers which are concatenations of three repdigits in base $I ¨ $