Juncheng Zhou

collaborators

3 papers

math.NT2026

Finite fields whose members are the sum of a potent and a 5-potent

Juncheng Zhou, Peter V. Danchev, Hongfeng Wu

We show that there are only finitely many finite fields whose members are the sum of an $n$ -potent element and a $5$ -potent element. Combining this with the algorithmic results pro…

math.NT2025

Cyclotomy, cyclotomic cosets and arithmetic properties of some families in $\frac{F _{l} [ x ]}{⟨ x ^{p^{s} q^{t}} - 1 ⟩}$

Juncheng Zhou, Hongfeng Wu

Arithmetic properties of some families in $\frac{F _{l} [ x ]}{⟨ x ^{p^{s} q^{t}} - 1 ⟩}$ are obtained by using the cyclotomic classes of order 2 with respect to $n = p^{s} q^{t}$ ,…

math.NT2025

The Multiple Equal-Difference Structure of Cyclotomic Cosets

Li Zhu, Juncheng Zhou, Jinle Liu +1

In this paper we introduce the definition of equal-difference cyclotomic coset, and prove that in general any cyclotomic coset can be decomposed into a disjoint union of equal-diff…

Finite fields whose members are the sum of a potent and a 5-potent

Cyclotomy, cyclotomic cosets and arithmetic properties of some families in ⟨xpsqt−1⟩Fl​[x]​

The Multiple Equal-Difference Structure of Cyclotomic Cosets

Cyclotomy, cyclotomic cosets and arithmetic properties of some families in $\frac{F _{l} [ x ]}{⟨ x ^{p^{s} q^{t}} - 1 ⟩}$