S. Rihane

activity

20182026

most citedPell or Pell-Lucas numbers as concatenations of two repdigits in base

b

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.NT2026

Stieltjes constants for Hurwitz-type L-series attached to periodic arithmetic functions

Abdelmejid Bayad, Salah Eddine Rihane

We investigate generalized Stieltjes constants attached to Hurwitz-type Dirichlet series of the form $L (s, f, x) = n \geq 0 \sum \frac{f ( n )}{( n + x ) ^{s}}$ where $f$ is a periodic a…

math.NT2026

Perfect powers in sequences of polygonal numbers

Andrzej Dąbrowski, Salah Eddine Rihane, Gökhan 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…

math.NT2025

Repdigits as Product of Consecutive Shifted Tribonacci Numbers

Pranabesh Das, Salah Eddine Rihane, Alain Togbé

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.NT2022★ 1 cited

Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$

Kouessi Norbert Adedji, Alan Filipin, Salah Eddine Rihane +1

Let $b$ be a positive integer such that $2 \leq b \leq 10$ . In this study, we find all Pell or Pell-Lucas numbers as concatenations of two repdigits in base $b$ . As a corollary, it…

math.NT2022

Narayana Sequence and The Brocard-Ramanujan Equation

Mustafa Ismail, Salah Rihanaa, M. Anwar

Let ${a_{n}}_{n \geq 0}$ be the Narayana Sequence defined by the recurence $a_{n} = a_{n - 1} + a_{n - 3}$ for all $n \geq 3$ with intital values $a_{0} = 0$ and $a_{1}…

math.NT2018

An exponential Diophantine equation related to the difference between powers of two consecutive Balancing numbers

Salah E. Rihane, Bernadette Faye, Florian Luca +1

In this paper, we find all solutions of the exponential Diophantine equation $B_{n + 1}^{x} - B_{n}^{x} = B_{m}$ in positive integer variables $(m, n, x)$ , where $B_{k}$ is the $k$ -th term of the…