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A -ANALOGUE OF A DWORK-TYPE SUPERCONGRUENCE
Bulletin of the Australian Mathematical Society ( IF 0.6 ) Pub Date : 2020-07-17 , DOI: 10.1017/s0004972720000635
XIAOXIA WANG , MINGBING YUE

By making use of the ‘creative microscoping’ method, Guo and Zudilin [‘Dwork-type supercongruences through a creative $q$-microscope’, Preprint, 2020, arXiv:2001.02311] proved several Dwork-type supercongruences, including some conjectures of Swisher. In this paper, we apply the Guo–Zudilin method to prove a new Dwork-type supercongruence, which uniformly generalises several conjectures of Swisher.

中文翻译:

DWORK型超同余的模拟

通过利用“创造性显微镜”方法,郭和祖迪林 ['Dwork 型超同余通过创造性$q$-显微镜”,预印本,2020,arXiv:2001.02311] 证明了几个 Dwork 型超同余,包括 Swisher 的一些猜想。在本文中,我们应用 Guo-Zudilin 方法证明了一个新的 Dwork 型超同余,它统一推广了 Swisher 的几个猜想。
更新日期:2020-07-17
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