Proof of a basic hypergeometric supercongruence
modulo the fifth power of a cyclotomic polynomial
By means of the q-Zeilberger algorithm,
we prove a basic hypergeometric supercongruence modulo the fifth power
of the cyclotomic polynomial Φn(q).
This result appears to be quite unique, as in the existing literature so far
no basic hypergeometric supercongruences modulo a power greater than
the fourth of a cyclotomic polynomial have been proved. We also
establish a couple of related results, including a parametric supercongruence.
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