报 告 题 目：On generalization of the Romanoff theorem

主 讲 人：戴 丽 霞

单 位：南京师范大学

时 间：6月28日9:00

腾 讯 ID：859-266-257

密 码：123456

摘 要：

The well-known Romanoff theorem asserts that the set { p+2^k: p is prime and k≥ 0} has a positive lower density, i.e., there exists an absolute constant C₀ such that |{n ≤ X : n = p+2^k}| ≥ C₀X for any sufficiently large X. Nowadays the Romanoff theorem has been generalized in many different ways. In fact, as early as 1950, Erdos 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.

简 介：

戴丽霞，南京师范大学教授，博士生导师。研究方向为组合数论、解析数论。先后主持国家自然科学基金青年项目，面上项目，相关成果发表在Acta Arith, J. Number Theory 等国际著名期刊。