Hongfeng Wu

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20242026

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math.NT2025

The Minimal Binomial Multiples of Polynomials over Finite Fields

Li Zhu, Hongfeng Wu

Let $f (X)$ be a nonconstant polynomial over $F_{q}$ , with a nonzero constant term. The order of $f (X)$ is a classical notion in the theory of polynomials over finite field…

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…

The Minimal Binomial Multiples of Polynomials over Finite Fields

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 $\frac{F _{l} [ x ]}{⟨ x ^{p^{s} q^{t}} - 1 ⟩}$