Work

A new family of q-hypergeometric congruences from Andrews’ multi-series transformation

Year: 2025

Type: article

Abstract: We deduce a new family of q-hypergeometric congruences modulo the fourth power of a cyclotomic polynomial from George Andrews’ multi-series extension of the Watson transformation. A Karlsson–Minton type summation for very-well-poised basic hypergeometric series due to George Gasper also plays an important role in our proof. We put forward two relevant conjectures on supercongruences and q-supercongruences for further study.

Source: Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas

DOI: 10.1007/s13398-025-01721-4

Authors: Victor J. W. Guo, Michael J. Schlosser

Institutions: Hangzhou Normal University, University of Vienna

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funders: Austrian Science Fund, Universität Wien