报告题目 (Title)：“发散”Ramanujan型超同余的一个新的q-模拟（A new q-analogue of a ``divergent" Ramanujan-type supercongruence）

报告人 (Speaker)： 郭军伟 教授（淮阴师范学院）

报告时间 (Time)：2023年11月1日(周三) 15:00—16:00

报告地点：校本部F309

邀请人(Inviter)：王晓霞

主办部门：理学院数学系

报告摘要：Guillera and Zudilin proved the following ``divergent" Ramanujan- type supercongruence: for any odd prime p, \sum_{k=0}^{p-1} \frac{(\frac{1}{2})_k^3}{k!^3}(3k+1)2^{2k} \equiv p\pmod{p^3}. Sun further conjectured that the above supercongruence is also true modulo p^4 for p>3, and a q-analogue of this result was given by the author in an early paper. In this paper, we establish a new q-analogue of Sun's supercongruence by employing the method of ``creative microscoping", developed by the author and Zudilin in 2019.