报 告 人:郭军伟 教授 (淮阴师范学院)
报告题目:Some $q$-analogues of supercongruences for truncated $_3F_2$ hypergeometric series
报告时间:2021年6月25日(周五)下午15:30
报告地点:静远楼1508学术报告厅
报告人简介:
郭军伟,教授,兼职博士生导师,主要从事组合数学,q-级数和数论的研究,是中国组合数学界杰出的后起之秀。郭军伟教授在Advances in Mathematics等著名期刊上发表SCI论文100余篇,先后主持三项国家自然科学基金,以及上海市教育发展基金会晨光计划,上海市科委青年科技启明星计划,江苏省自然科学基金等项目,并入选江苏省 “青蓝工程”中青年学术带头人。
报告摘要:
In 2003, Rodriguez-Villegas found four supercongruences modulo $p^2$ ($p$ is an odd prime) for truncated $_3F_2$ hypergeometric series related to Calabi--Yau manifolds of dimension $d=3$. One of them was already proved by Van Hamme in 1997.A $q$-analogue of Van Hamme's supercongruence was given by the author and Zeng, and the author and Zudilin.
In this talk, we give $q$-analogues of the other three supercongruences of Rodriguez-Villegas. As a conclusion, we also generalize half of Rodriguez-Villegas's supercongruences to the modulus $p^3$ case.
邀 请 人:祝宝宣