P. Kaggwa

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20242026

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math.NT2026

$k$ -Fibonacci and $k$ -Lucas numbers with the Hölder inequality

Herbert Batte, Prosper Kaggwa

Dujella, Jak\v setić and Pe\v carić recently established in \cite{DJP}, a chain of power-sum inequalities, built from Hölder's and Cauchy's inequalities and their converse forms, a…

math.NT2026

On mixed $b$ -concatenations of Fibonacci and Lucas numbers that are Lucas numbers

Herbert Batte, Prosper Kaggwa

Let $(F_{n})_{n \geq 0}$ and $(L_{n})_{n \geq 0}$ denote the sequences of Fibonacci and Lucas numbers respectively. This paper determines all Lucas numbers that can be represented as base $b…

k-Fibonacci and k-Lucas numbers with the Hölder inequality

On mixed b-concatenations of Fibonacci and Lucas numbers that are Lucas numbers

$k$ -Fibonacci and $k$ -Lucas numbers with the Hölder inequality

On mixed $b$ -concatenations of Fibonacci and Lucas numbers that are Lucas numbers