Joaquim Cera Da Conceiccao

most citedDivisibility of the Multiplicative Order Modulo Monic Irreducible Polynomials Over Finite Fields

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

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3 papers

math.NT2024★ 1 cited

Divisibility of the Multiplicative Order Modulo Monic Irreducible Polynomials Over Finite Fields

Joaquim Cera Da Conceição

We consider the set of monic irreducible polynomials $P$ over a finite field $F_{q}$ such that the multiplicative order modulo $P$ of some a in $F_{q} (T)$ is divisibl…

math.NT2024

Multinomial Catalan Numbers and Lucas Analogues

Joaquim Cera Da Conceição

We define a new generalization of Catalan numbers to multinomial coefficients. With arithmetic methods, we study their integrality and the integrality of their Lucasnomial generali…

math.NT2024

Primitive Divisors of Lucas Sequences in Polynomial Rings

Joaquim Cera Da Conceição

It is known that all terms $U_{n}$ of a classical regular Lucas sequence have a primitive prime divisor if $n > 30$ . In addition, a complete description of all regular Lucas sequences…