Work

Further q -generalizations of Van Hamme's (C.2) and (G.2) supercongruences

Year: 2026

Type: article

Abstract: Applying the q-Zeilberger algorithm, we establish a unified q-analogue of the (C.2) and (G.2) supercongruences of Van Hamme, which can be viewed as a refinement of several previously known results. As consequences, we obtain a q-analogue of supercongruence involving Bernoulli numbers, as well as a refinement of (G.2) supercongruence.

Source: Integral Transforms and Special Functions

DOI: 10.1080/10652469.2026.2727055

Authors: Song-Xiao Li, Su-Dan Wang

Institution: Inner Mongolia Normal University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Natural Science Foundation of Inner Mongolia

Award: G8874870449