报告人：戴丽霞，教授，南京师范大学

报告题目：Romanoff theorem and some related problems

时间：2025年04月17日15:45-16:45

地点：创新港泓理楼 4－4202

摘要：

The well-known Romanoff theorem asserts that the set $\left\{p+2^k: p\right.$ is prime and $k \geq$ $0\}$ has a positive lower density, i.e., there exists an absolute constant $C_0$ such that $\left|\left\{n \leq X: n=p+2^k\right\}\right| \geq C_0 X$ for any sufficiently large $X$, which was proved by Romanoff in 1934. Nowadays the Romanoff theorem has been generalized in many different ways. For example, in 1950, Erdős considered one kind of generalization of Romanoff theorem. In this talk, some previous and classical results concerning the Romanoff theorem will be retrospected. In addition, our recent progress on this topic will be introduced.

报告人简介：

戴丽霞，南京师范大学教授，博士生导师，美国数学评论评论员，主要从事解析数论和组合数论方面的研究，在表示函数方面得到了深刻的结果。主持完成多项国家级和省部级科研项目，在国内外著名数学杂志发表学术论文 30 余篇。

邀请人：郗平 教授