论文标题
Rodriguez-Villegas的超级美食的A $ Q $ -DWORK-TYPE概括
A $q$-Dwork-type generalization of Rodriguez-Villegas' supercongruences
论文作者
论文摘要
郭和Zudilin [adv。数学。 346(2019),329--358]开发了一种称为“创意显微镜”的分析方法,以通过建立其$ Q $ -ANALOGUES来证明许多超级美食。在本文中,我们将此方法应用于Rodriguez-Villegas的超级企业的$ Q $ -DWORK类型的概括,该法案最近由Guo和Zudilin猜想。
Guo and Zudilin [Adv. Math. 346 (2019), 329--358] developed an analytical method, called `creative microscoping', to prove many supercongruences by establishing their $q$-analogues. In this paper, we apply this method to give a $q$-Dwork-type generalization of Rodriguez-Villegas' supercongruences, which was recently conjectured by Guo and Zudilin.