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arXiv · 2110.09906

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

Ji-Cai Liu·Xue-Ting Jiang
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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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Ji-Cai Liu, Xue-Ting Jiang. 2021-10-19. On the divisibility of sums of even powers of $q$-binomial coefficients. https://arxiv.org/abs/2110.09906

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