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On the divisibility of sums of even powers of $q$-binomial coefficients

Published 19 Oct 2021 in math.NT and math.CO | (2110.09906v1)

Abstract: We prove the divisibility conjecture on sums of even powers of $q$-binomial coefficients, which was recently proposed by Guo, Schlosser and Zudilin. Our proof relies on two $q$-harmonic series congruences due to Shi and Pan.

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