Work

New $ q $-supercongruences arising from a summation of basic hypergeometric series

Year: 2021

Type: article

Abstract: With the help of a summation of basic hypergeometric series, the creative microscoping method recently introduced by Guo and Zudilin, and the Chinese remainder theorem for coprime polynomials, we prove some new $ q $-supercongruences on sums of $ q $-shifted factorials. Especially, we give a $ q $-analogue of a formula due to Liu [ 14 ].

Source: AIMS Mathematics

DOI: 10.3934/math.2022228

Authors: Chuanan Wei, Chun Li

Institutions: Hainan Normal University, Hainan Medical University

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,200

Funders: National Natural Science Foundation of China, Natural Science Foundation of Hainan Province