报告题目：Romanoff's theorem for polynomials over finite fields revisited

报告摘要：Let g be a given polynomial of positive degree over a finite field. Shparlinski and Weingartner proved that the proportion of monic polynomials of degree n which can be represented by $h + g^k$ has the order of magnitude 1/deg g, where h is chosen from the set of irreducible monic polynomials of degree n and k ∈ N. In this talk，we show that the proportion of monic polynomials of degree n which can be written as $l + g^p$ where l is the product of two monic irreducible polynomials with deg l = n and p is a prime number, still has the order of magnitude 1/deg g.

个人简介： 周海燕，南京师范大学002cc白菜资讯教授，研究领域：代数数论以及在信息安全中的应用，在国内外学术刊物Journal of Number Theory, Journal of Pure and Applied Algebra, Acta Arithmetica, Finite Fields and their applications等上发表了论文二十多篇，主持和参加国家自然科学基金4项，曾访问美国加州大学尔湾分校，加拿大Mcmaster大学，意大利国际理论物理中心，印度ICTS等国外高校以及学术机构.

报告时间：2022.5.13上午10：00-11：00

腾讯会议：641 992 296