报告题目:The Multiplicative Basis of Reduced Residue System
主 讲 人:赵 立 璐 教授
单 位:山东大学
时 间:9月15日9:00
腾 讯 ID:209 757 700
摘 要:
Let A be a subset of an abelian group G. The set A is called a basis of order h for G if hA = G. In this talk, we discuss the basis of (Z=qZ) in prime number theory. Let A be the set of prime numbers below q. As an application of Kneser's theorem, we prove that A is a basis of order 6 in (Z=qZ) for all large prime q. This improves upon the result of Walker, who proved that A is a basis of order 48.
简 介:
赵立璐,山东大学数学院教授,博士生导师,主要研究解析数论和组合数论。获得香港数学学会优秀博士论文奖, 山东大学齐鲁青年学者特聘教授, 第三批国家“万人计划”青年拔尖人才,国家自然科学基金优秀青年基金获得者。主持5项国家自然科学基金项目,相关成果发表在Crelle, Proc. London Math. Soc., Int. Math. Res. Not.等国际综合数学期刊。