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

被引：0
|
作者：
Ji-Cai Liu
Xue-Ting Jiang
机构：
[1] Wenzhou University,Department of Mathematics
来源：
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | 2022年 / 116卷
关键词：
-Binomial coefficients; -Congruences; Cyclotomic polynomials; 33D15; 11A07; 11B65;
D O I：
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中图分类号：
学科分类号：
摘要：
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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