Proof of a congruence on sums of powers of q-binomial coefficients

DOI10.1142/S1793042117500877zbMath1428.11009arXiv1504.05482OpenAlexW2962803485MaRDI QIDQ5272478

Ji-Cai Liu, Victor J. W. Guo

Publication date: 29 June 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.05482

zbMATH Keywords

\(q\)-binomial coefficients\(q\)-Pfaff-Saalschütz identityFaulhaber's formula\(q\)-Chu-Vandermonde summation

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Uses Software

• SumTools

Cites Work

• Combinatorial interpretations of the \(q\)-Faulhaber and \(q\)-Salié coefficients
• A \(q\)-analogue of Faulhaber's formula for sums of powers
• Johann Faulhaber and Sums of Powers
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