Bilateral truncated Jacobi's identity

DOI10.1016/J.EJC.2015.05.014zbMath1321.05013OpenAlexW606983643MaRDI QIDQ499475

Wenston J. T. Zang, Thomas Yao He, Kathy Qing Ji

Publication date: 30 September 2015

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2015.05.014

zbMATH Keywords

involutiongenerating function identities

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (16)

Lambert series and conjugacy classes in \(\mathrm{GL}\) ⋮ Infinite families of Hecke-Rogers type series and their truncated representations ⋮ Linear inequalities concerning partitions into distinct parts ⋮ Binomial transforms and integer partitions into parts of \(k\) different magnitudes ⋮ Combinatorial proofs of two truncated theta series theorems ⋮ Truncated theta series and a problem of Guo and Zeng ⋮ A common recursive formula for Ramanujan’s ₁𝜓₁ and Bailey’s very-well-poised ₆𝜓₆ summation formulas ⋮ Truncated Hecke-Rogers type series. II ⋮ Rank partition functions and truncated theta identities ⋮ Unnamed Item ⋮ Note on the truncated generalizations of Gauss's square exponent theorem ⋮ Truncated Jacobi triple product series ⋮ Some new expansions for certain truncated \(q\)-series ⋮ A truncated theta identity of Gauss and overpartitions into odd parts ⋮ Truncated Hecke-Rogers type series ⋮ New truncated theorems for three classical theta function identities

Cites Work

• Unnamed Item
• Unnamed Item
• The truncated pentagonal number theorem
• A truncated Jacobi triple product theorem
• Proofs of two conjectures on truncated series
• Two theorems of Gauss
• An involution for Jacobi's identity
• Jacobi's two-square theorem and related identities
• Ramanujan's method in \(q\)-series congruences
• Frobenius partitions and the combinatorics of Ramanujan's \(_{1}\psi_{1}\) summation
• Two truncated identities of Gauss
• Generalized Frobenius partitions
• Completion of a Gaussian Derivation
• An Enumerative Proof of An Identity of Jacobi
• A Short Proof of an Identity of Euler

This page was built for publication: Bilateral truncated Jacobi's identity