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math.NT2025
The Minimal Binomial Multiples of Polynomials over Finite Fields
Li Zhu, Hongfeng Wu
Let be a nonconstant polynomial over , with a nonzero constant term. The order of is a classical notion in the theory of polynomials over finite field…
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…