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Factors of certain basic hypergeometric sums

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Abstract

We prove that certain truncated basic hypergeometric series contain the factor \(\Phi _n(q)^2\), where \(\Phi _n(q)\) is the nth cyclotomic polynomial. This result may be regarded as a generalization of Theorem 1.1 in Guo (J Math Anal Appl 476:851–859, 2019).

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The three authors contributed equally. All authors reviewed the manuscript.

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Correspondence to Xiao Yu.

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Cao, J., Guo, V.J.W. & Yu, X. Factors of certain basic hypergeometric sums. Ramanujan J 63, 995–1005 (2024). https://doi.org/10.1007/s11139-023-00798-y

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