2020/08/06 by He-Xia Ni, Ni, He-Xia
Mathematics · #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Benford’s Law and Fraud Detection #FOS: Mathematics #Number Theory (math.NT)
paper · pdf · doi:10.48550/arxiv.2008.02541
openalex publication_date 2020/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.