报告题目：Some q-analogues of supercongruences for truncated₃F₂hypergeometric series

报告人：郭军伟教授

报告时间：2021/05/12 09:30-11:00

报告地点：腾讯会议487 534 211

报告摘要：In 2003, Rodriguez-Villegas found four supercongruences modulo p²(p is an odd prime) for truncated₃F₂hypergeometric 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 p³case.

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。