4 citations · 8 across the 15 of their papers we have counts for
5 papers · 1 filter
The Diophantine equation : a complete solution for half of the primes
Pagdame Tiebekabe
Let be a prime number and let be an integer. We completely solve the exponential Diophantine equation in positive integers for every prim…
Sums of three Fibonacci numbers as concatenations of three repdigits in base
Passimzouwé Dagou, Pagdame Tiebekabe, Kouèssi Norbert Adédji +1
In this paper, we investigate sums of three Fibonacci numbers that can be expressed as concatenations of three repdigits in base , where is an integer. We prove that fo…
On Narayana numbers which are products of four -repdigits with a consequence
Passimzouwé 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 , where is an integer with . We prove that for between $…
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…
Narayana numbers as product of three repdigits in base
Pagdame Tiebekabe, K. R. Kakanou, H. Ben Yakkou
In this paper, we show that there are only finitely many Narayana's numbers which can be written as product of three repdigits in base with . Moreover, for $2 \leq g…