F. Luca

activity

20222024

most citedRepresenting the inverse map as a composition of quadratics in a finite field of characteristic

2

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2024

Sum of Consecutive Terms of Pell and Related Sequences

Navvye Anand, Amit Kumar Basistha, Kenny B. Davenport +4

We study new identities related to the sums of adjacent terms in the Pell sequence, defined by $P_{n} := 2 P_{n - 1} + P_{n - 2}$ for $n \geq 2$ and $P_{0} = 0, P_{1} = 1$ , and generalize the…

math.NT2023★ 1 cited

Representing the inverse map as a composition of quadratics in a finite field of characteristic $2$

Florian Luca, Santanu Sarkar, Pantelimon Stanica

In 1953, Carlitz~\cite{Car53} showed that all permutation polynomials over $\F_q$, where $q > 2$ is a power of a prime, are generated by the special permutation polynomials $x^{q - 2}$ …

math.CO2022

Concatenations of Terms of an Arithmetic Progression

Florian Luca, Bertrand Teguia Tabuguia

Let $(u (n))_{n \in N}$ be an arithmetic progression of natural integers in base $b \in N ∖ {0, 1}$ . We consider the following sequences: $s(n)=\overline{u(0)u…