S. Rihane

collaborators

2 papers

math.NT2026

Repdigits as Product of Consecutive Shifted Tribonacci Numbers

Pranabesh Das, Salah Eddine Rihane, Alain TogbÃ©

A repdigit is a positive integer that has only one distinct digit in its decimal expansion, i.e., a number has the form $d (1 0^{m} - 1) /9$ for some $m \geq 1$ and $1 \leq d \leq 9$ . Let…

math.NT2026

Perfect powers in sequences of polygonal numbers

Andrzej DÄ browski, Salah Eddine Rihane, GÃ¶khan Soydan +1

Let $P_{s} (n)$ denote the $n$ -th $s$ -gonal number. Consider the Diophantine equation $P_{s} (n) = t^{m}$ for integers $n, s, t$ and $m > 2$ . All solutions to this equation are known f…