3 papers
math.NT2026
Multiplicative dependence modulo subsets
Min Sha
In this paper, we show that if the non-constant rational functions over a number field cannot multiplicatively generate a power of a linear fractiona…
math.NT2026
Three integers arising from Bézout's identity and resultants of integer polynomials
Zhiqian Liu, Xiaoting Li, Wenheng Liu +1
In this paper, we study three integers arising naturally from Bézout's identity, the resultant and the reduced resultant of two coprime integer polynomials. We establish several n…
math.NT2025
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…