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.NT2023

Multiplicative independence in the sequence of $k$ -generalized Lucas numbers

Herbert Batte, Mahadi Ddamulira, Juma Kasozi +1

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

math.NT2023★ 1 cited

On the Largest Prime factor of the k-generalized Lucas numbers

Herbert Batte, Florian Luca

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

math.NT2023

On the discriminator of Lucas sequences. II

Matteo Ferrari, Florian Luca, Pieter Moree

The family of Shallit sequences consists of the Lucas sequences satisfying the recurrence $U_{n + 2} (k) = (4 k + 2) U_{n + 1} (k) - U_{n} (k),$ with initial values $U_{0} (k) = 0$ and $U_{1} (k) = 1$ and w…

math.NT2023

Sequences of integers generated by two fixed primes

Alessandro Languasco, Florian Luca, Pieter Moree +1

Let $p$ and $q$ be two distinct fixed prime numbers and $(n_{i})_{i \geq 0}$ the sequence of consecutive integers of the form $p^{a} \cdot q^{b}$ with $a, b \geq 0$ . Tijdeman gave a lower bou…

Multiplicative independence in the sequence of k-generalized Lucas numbers

On the Largest Prime factor of the k-generalized Lucas numbers

On the discriminator of Lucas sequences. II

Sequences of integers generated by two fixed primes

Multiplicative independence in the sequence of $k$ -generalized Lucas numbers