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Some q-supercongruences for double and triple basic hypergeometric series.

Authors :
Wei, Chuanan
Li, Chun
Source :
Proceedings of the American Mathematical Society; Jun2024, Vol. 152 Issue 6, p2283-2296, 14p
Publication Year :
2024

Abstract

In terms of the creative microscoping method, El Bachraoui's lemmas, and the Chinese remainder theorem for coprime polynomials, we establish some q-supercongruences for double and triple basic hypergeometric series. Several related conjectures are also proposed for further research. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
152
Issue :
6
Database :
Complementary Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
176989727
Full Text :
https://doi.org/10.1090/proc/16623