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arXiv · 1812.11659

Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial

Victor J. W. Guo·Michael J. Schlosser
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Abstract

By means of the $q$-Zeilberger algorithm, we prove a basic hypergeometric supercongruence modulo the fifth power of the cyclotomic polynomial $\Phi_n(q)$. 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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Victor J. W. Guo, Michael J. Schlosser. 2018-12-31. Proof of a basic hypergeometric supercongruence modulo the fifth power of a cyclotomic polynomial. https://doi.org/10.1080/10236198.2019.1622690

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