A new family of q-hypergeometric congruences
from Andrews' multiseries transformations
(10 pages)
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.
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