Xu Song

most citedCube sums of form

3 p

and

3 p^{2}

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.CO2026

A new construction of permutation polynomials over $F_{q^{3}}$

Zhiguo Ding, Xu Song, Wei Xiong

We determine all permutation polynomials among several families of polynomials over $F_{q^{3}}$ for arbitrary prime powers $q$ . We obtain some new families of permutation po…

math.NT2018★ 1 cited

Cube sums of form $3 p$ and $3 p^{2}$

Jie Shu, Xu Song, Hongbo Yin

Let $p \equiv 2, 5 mod 9$ be an odd prime. In this paper, we prove that at least one of $3 p$ and $3 p^{2}$ is a cube sum by constructing certain nontrivial Heegner points. We also estab…

A new construction of permutation polynomials over Fq3​

Cube sums of form 3p and 3p2

A new construction of permutation polynomials over $F_{q^{3}}$

Cube sums of form $3 p$ and $3 p^{2}$