Work

Some q-supercongruences for double basic hypergeometric series

Year: 2023

Type: preprint

Abstract: In terms of the creative microscoping method, El Bachraoui’s lemma, and the Chinese remainder theorem for coprime polynomials, we establish some q-supercongruences for double basic hypergeometric series modulo the fifth and fourth powers of a cyclotomic polynomial. Several related conjectures are also proposed for further research. AMS Subject Classifications: 11A07, 11B65

Source: Research Square

DOI: 10.21203/rs.3.rs-2672069/v1

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: green

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

Awards: 围绕多维基本超几何级数的研究, G5821021648