S. Rihane

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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

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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…