报 告 题 目：Romanoff type problems and their representation functions

主 讲 人：Yuchen Ding

单 位：南京大学

时 间：3月18日15:00

腾讯会议：315-455-237

摘 要：

In 1934, Romanoff proved that there is a positive lower density of the odd numbers which can be represented by the form 2^k + p, where k is a non–negative integer and p is a prime number. Since then, problems of this type are called Romanoff type problems. In 1950, Erdős proved that the number of the representations of m = 2^k +p is unbounded for m, which starts the researches of the representation functions of Romanoff type problems. Erdős made a few interesting conjectures related to Romanoff type problems and their representation functions. In this talk, the speaker shall introduce some history and new results in this topic. The main ingredients of this talk are based on the recent works of the speaker and his coauthors.

简 介：

Doctor Yuchen Ding graduated form Nanjing University and he is majored in analytic and combinatorial number theory. Dr. Ding had accepted or published 14 articles in number theory,including Proc. Amer. Math. Soc., Acta Arith. and J. Number Theory.