A -ANALOGUE OF A DWORK-TYPE SUPERCONGRUENCE
Xiaoxia Wang, Mingbing Yue
Abstract
Abstract 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.
Topics & Concepts
MathematicsPreprintType (biology)ArithmeticPure mathematicsAlgebra over a fieldComputer scienceEcologyBiologyWorld Wide WebAdvanced Mathematical IdentitiesAnalytic Number Theory ResearchHistory and Theory of Mathematics