Florian Luca

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20112026

most citedOn the Largest Prime factor of the k-generalized Lucas numbers

1 citations · 1 across the 13 of their papers we have counts for

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math.NT2025

$k$ -Fibonacci numbers that are palindromic concatenations of two distinct Repdigits

Herbert Batte, Florian Luca

Let $k \geq 2$ and ${F_{n}^{(k)}}_{n \geq 2 - k}$ be the sequence of $k$ --generalized Fibonacci numbers whose first $k$ terms are $0, \dots, 0, 0, 1$ and each term afterwards is the sum of…

math.NT2025

The Discriminant of the Characteristic Polynomial of the $k$ th Fibonacci sequence is not a member of the $k$ th Lucas sequence

Herbert Batte, Florian Luca

Let $k \geq 2$ and ${L_{n}^{(k)}}_{n \geq 2 - k}$ be the sequence of $k$ -generalized Lucas numbers whose first $k$ terms are $0, \dots, 0, 2, 1$ and each term afterwards is the sum of the…

k-Fibonacci numbers that are palindromic concatenations of two distinct Repdigits

The Discriminant of the Characteristic Polynomial of the kth Fibonacci sequence is not a member of the kth Lucas sequence

$k$ -Fibonacci numbers that are palindromic concatenations of two distinct Repdigits

The Discriminant of the Characteristic Polynomial of the $k$ th Fibonacci sequence is not a member of the $k$ th Lucas sequence