一、题目：

Romanoff's theorem for polynomials over finite fields revisited

二、主讲人：

周海燕

三、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 setof 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.

四、主讲人简介：

周海燕（南京师范大学数学科学学院教授）

五、邀请人：

赵立璐 数学学院教授

六、时间：

12月17日（周五）15:00

七、地点：

腾讯会议，会议ID：284 613 157

八、主办方：

山东大学数学学院