题目：           Semi-automated proof of supercongruences on partial sums of hypergeometric series

报告人：      刘纪彩 (温州大学)

时间地点：   2018.08.08  16:00pm  N205

摘要：           Using the software package Sigma developed by Schneider, we automatically discover and prove some combinatorial identities involving harmonic numbers, from which we deduce some supercongruences on partial sums of hypergeometric series. These results confirm some conjectural generalizations of van Hamme's (B.2) and (C.2) supercongruences in some special cases, and extend van Hamme's (A.2) and (H.2) supercongruences to the cases modulo p 4