A new \(q\)-analogue of the sum of cubes

DOI10.1016/j.disc.2006.11.015zbMath1127.05007OpenAlexW1989894770MaRDI QIDQ2461213

Guangjun Zhao, Hong Feng

Publication date: 27 November 2007

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2006.11.015

zbMATH Keywords

\(q\)-analoguethe lattice of subspaces

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (1)

Faulhaber's theorem on power sums

Cites Work

• Unnamed Item
• Combinatorial interpretations of the \(q\)-Faulhaber and \(q\)-Salié coefficients
• Mappings of subspaces into subsets
• A combinatorial proof of the sum of \(q\)-cubes
• On the {\(q\)}-analogue of the sum of cubes
• {\(q\)}-analogues of the sums of consecutive integers, squares, cubes, quarts and quints
• Quotient sets and subset-subspace analogy
• Subspaces, subsets, and partitions
• A \(q\)-analogue of Faulhaber's formula for sums of powers
• On the Foundations of Combinatorial Theory IV Finite Vector Spaces and Eulerian Generating Functions

This page was built for publication: A new \(q\)-analogue of the sum of cubes