On some \(q\)-identities related to divisor functions

DOI10.1016/J.AAM.2004.05.006zbMath1061.05010arXivmath/0406328OpenAlexW2028756056MaRDI QIDQ1775740

Zeng, Jiang

Publication date: 4 May 2005

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406328

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30)

Related Items (12)

Combinatorial identities from contour integrals of rational functions ⋮ A \(q\)-analog of dual sequences with applications ⋮ Some \(q\)-congruences for homogeneous and quasi-homogeneous multiple \(q\)-harmonic sums ⋮ Generalization of the non-local derangement identity and applications to multiple zeta-type series ⋮ On a general \(q\)-identity ⋮ A transformation of certain infinite series based on the non-local derangement identity ⋮ Some further \(q\)-series identities related to divisor functions ⋮ Basic and bibasic identities related to divisor functions ⋮ Extensions of \(q\)-Chu-Vandermonde's identity ⋮ Elementary proofs of some \(q\)-identities of Jackson and Andrews--Jain ⋮ Matrix representations for multiplicative nested sums ⋮ Some congruences related to the q-Fermat quotients

Cites Work

• Unnamed Item
• \(q\)-identities from Lagrange and Newton interpolation
• Some \(q\)-series identities related to divisor functions
• \(q\)-identities related to overpartitions and divisor functions
• q-identities of Fu and Lascoux proved by theq-rice formula

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