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math.NT2020
Multiplicative and linear dependence in finite fields and on elliptic curves modulo primes
Fabrizio Barroero, Laura Capuano, László Mérai +2
For positive integers and , we introduce and study the notion of -multiplicative dependence over the algebraic closure of a finite prime field $…
math.NT2020
On the Lucas and Lehmer sequences in Dedekind domains
Xiumei Li, Giulio Peruginelli, Min Sha
In this paper, we first obtain the strong divisibility property for the Lucas and Lehmer sequences in Dedekind domains, and then establish analogues of Zsigmondy's theorem and the…
math.NT2020
Zsigmondy's theorem and primitive divisors of the Lucas and Lehmer sequences in polynomial rings
Min Sha
In this paper, we obtain analogues of Zsigmondy's theorem and the primitive divisor results for the Lucas and Lehmer sequences in polynomial rings of several variables.