University of Kara

output

20102026

most citedOn solutions of the Diophantine equation

L_{n} + L_{m} = 3^{a}

4 citations

Showing math.NTShow all

3 papers · 1 filter

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.NT2022★ 1 cited

On common index divisors and monogenity of of the nonic number field defined by a trinomial $x^{9} + a x + b$

Hamid Ben Yakkou, Pagdame Tiebekabe

Let $K$ be a nonic number field generated by a complex root $þ$ of a monic irreducible trinomial $F (x) = x^{9} + a x + b \in Z [x]$ , where $ab \neq = 0$ . Let $i (K)$ be the index of $K$ . A…

math.NT2022★ 4 cited

On solutions of the Diophantine equation $L_{n} + L_{m} = 3^{a}$

Pagdame Tiebekabe, Ismaila Diouf

Let $(L_{n})_{n \geq 0}$ be the Lucas sequence given by $L_{0} = 2, L_{1} = 1$ and $L_{n + 2} = L_{n + 1} + L_{n}$ for $n \geq 0$ . In this paper, we are interested in finding all powers of three…

Powers as Fibonacci Sums

On common index divisors and monogenity of of the nonic number field defined by a trinomial x9+ax+b

On solutions of the Diophantine equation Ln​+Lm​=3a

On common index divisors and monogenity of of the nonic number field defined by a trinomial $x^{9} + a x + b$

On solutions of the Diophantine equation $L_{n} + L_{m} = 3^{a}$