题目: Romanoff type representations

报告人：丁煜宸，扬州大学

时间：4月10日星期三17:00-17:50

地点：五教5106

摘要: Motivated by a 1849 conjecture of de Polignac (actually dating by to Euler in a 1752 letter of Goldbach), Romanoff proved in 1934 that there is positive lower asymptotic of odd numbers which can be written as the sum of a prime and a power of 2. In 1950, Erdos constructed an arithmetic progression none of whose members could be written as the above form. Since then, the Romanoff type representations drew common attentions to the mathematical community. In this talk, we first introduce the history as well as some developments involving with these representations. After that, two conjectures of Y.-G. Chen and two problems of Y.-G. Chen & Q.-H. Yang will be discussed in details. As an end, some open problems and conjectures are highlighted.