论文标题

沃森转型的两个$ q $ -supercongrence

Two $q$-supercongruences from Watson's transformation

论文作者

Ni, He-Xia, Wang, Li-Yuan

论文摘要

郭和Zudilin [adv。数学。 346(2019),329--358]引入了一种名为“创意显微镜”的新方法,以统一的方式证明了许多$ q $ supercongrence。在本文中,我们应用了此方法和沃森的$ {} _ 8ϕ_7 $转换公式来证明两个 $ Q $ - 苏格朗族人,最近由Guo and Schlosser猜想。

Guo and Zudilin [Adv. Math. 346 (2019), 329--358] introduced a new method called `creative microscoping', to prove many $q$-supercongruences in a unified way. In this paper, we apply this method and Watson's ${}_8ϕ_7$ transformation formula to prove two $q$-supercongruences, which were recently conjectured by Guo and Schlosser.

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