On the divisibility of sums of even powers of $q$-binomial coefficients
- Resource Type
- Working Paper
- Authors
- Liu, Ji-Cai; Jiang, Xue-Ting
- Source
- Subject
- Mathematics - Number Theory
Mathematics - Combinatorics
11A07, 11B65, 05A10
- Language
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.
Comment: 6 pages