Counting polynomial sums in finite commutative rings
副标题:
时间:2018-07-02 来源:数学机械化重点实验室
题目: Counting polynomial sums in finite commutative rings
报告人: 李吉有 (上海交通大学数学科学学院)
时间地点: 2018.07.11 15:00pm N205
摘要: Let $R$ be a finite commutative ring and $D$ be a subset of $R$. For a polynomial $f(x)$ in $R[x]$ and a positive integer $k$, we enumerate $k$-subsets $S$ in $D$ such that the polynomial sum over $S$ is a given element. In this talk, I will introduce some recent progress on this problem and its applications in combinatorics, number theory and coding theory.
This talk is based on joint work with Daqing Wan.