Zilong He

collaborators

3 papers

math.NT2026

The compositional inverses of the permutation polynomials of the form $x + I^^{3} Tr_{q}^{q^{n}} (H (x))$ over $F_{q^{n}}$

Danyao Wu, Xuan Pang, Zilong He +1

This paper focuses on computing the compositional inverses of permutation polynomials of the form $x + I^^{3} Tr_{q}^{q^{n}} (H (x))$ over finite fields via the local method.…

math.NT2025

On classic $n$ -universal quadratic forms over dyadic local fields

Zilong He

Let $n$ be an integer and $n \geq 2$ . A classic integral quadratic form over local fields is called classic $n$ -universal if it represents all $n$ -ary classic integral quadrati…

math.NT2025

Pythagoras number of quartic orders containing $2$

Zilong He, Yong Hu

Let $K$ be a quartic number field containing $2$ and let $O \subseteq K$ be an order such that $2 \in O$ . We prove that the Pythagoras number of $\m…

The compositional inverses of the permutation polynomials of the form x+I^3Trqqn​(H(x)) over Fqn​

On classic n-universal quadratic forms over dyadic local fields

Pythagoras number of quartic orders containing 2​

The compositional inverses of the permutation polynomials of the form $x + I^^{3} Tr_{q}^{q^{n}} (H (x))$ over $F_{q^{n}}$

On classic $n$ -universal quadratic forms over dyadic local fields

Pythagoras number of quartic orders containing $2$