On the divisibility of sums of even powers of q-binomial coefficients
نویسندگان
چکیده
We prove the divisibility conjecture on sums of even powers q-binomial coefficients, which was recently proposed by Guo, Schlosser and Zudilin. Our proof relies two q-harmonic series congruences due to Shi Pan.
منابع مشابه
Factors of sums of powers of binomial coefficients
We prove divisibility properties for sums of powers of binomial coefficients and of q-binomial coefficients. Dedicated to the memory of Paul Erdős
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ژورنال
عنوان ژورنال: Revista De La Real Academia De Ciencias Exactas Fisicas Y Naturales Serie A-matematicas
سال: 2022
ISSN: ['1578-7303', '1579-1505']
DOI: https://doi.org/10.1007/s13398-022-01220-w