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一个发散的拉马努金类型超同余式的新推广

2023.06.16

投稿:龚惠英部门:理学院浏览次数:

活动信息

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.

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