A -ANALOGUE OF A DWORK-TYPE SUPERCONGRUENCE

2020/07/17 by XIAOXIA WANG, Xiaoxia Wang, MINGBING YUE +1 · 1 citation
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #History and Theory of Mathematics

paper · doi:10.1017/s0004972720000635

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.

Citations

• A q-microscope for supercongruences

Cited by

• Some q -supercongruences modulo the square and cube of a cyclotomic polynomial. [europepmc]

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