天元讲堂(1.11):The 1-3-5-Conjecture and Related Topics
报告题目: The 1-3-5-Conjecture and Related Topics
报告人: 孙智伟 南京大学教授 国家杰出青年科学基金获得者
报告时间:2017年1月11日(周三)下午16:00
报告地点: 数学楼2楼学术报告厅
报告摘要: Lagrange's four-square theorem asserts that any natural number can be written as x2+y2+z2+w2 with x,y,z,w integers. In this talk we introduce recent progress on the speaker's1-3-5-Conjecture which asserts that any nonnegative integer can be written as the sum of squares of four nonnegative integers x,y,z,w such that x+3y+5z is a square. We will also mention related techniques and results on partitions of integers.
报告人简介:
南京大学数学系教授、博士生导师,国家杰出青年科学基金获得者, 其研究方向为数论与组合。他是《Journal of Combinatorics and Number Theory》的创刊主编。迄今已在《Trans. Amer. Math. Soc》、《J. Combin. Therory A》、《J. Numer Theory》等SCI源期刊上发表了一百多篇学术论文。