汇报标题 (Title):一个发散的拉马努金类型超同余式的新推广
汇报人 (Speaker): 郭军伟 教授(淮阴师范学院)
汇报功夫 (Time):2023年06月19日(周一) 11:00
汇报地址 (Place):校本部E421
约请人(Inviter):陈旦旦
主办部门:理学院数学系
汇报提要:We give a new extension of a ``divergent" Ramanujan-type supercongruence of Guillera and Zudilin by establishing a $q$-analogue of this result. Our proof makes use of the ``creative microscoping" method, which was introduced by the second author and Zudilin in 2019. We also present a similar extension of the (L.2) supercongruence of Van Hamme in the modulus $p^2$ case.