Cover Image

$J$-generalization of the Rogers-Ramanujan-Gordon identities via commutative algebra

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ghosh, Alapan, Barman, Rupam
Format:	Preprint
Published:	2026
Subjects:	Combinatorics Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

A proof of the Göllnitz-Gordon-Andrews identities via commutative algebra
by: Barman, Rupam, et al.
Published: (2026)

New proofs of the septic Rogers-Ramanujan identities
by: Rosengren, Hjalmar
Published: (2023)

The Ariki--Koike algebras and Rogers--Ramanujan type partitions
by: Chern, Shane, et al.
Published: (2022)

An example of $A_2$ Rogers-Ramanujan bipartition identities of level 3
by: Tsuchioka, Shunsuke
Published: (2022)

Hook length inequalities for $t$-regular partitions in the $t$-aspect
by: Singh, Gurinder, et al.
Published: (2024)

Hook length biases in ordinary and $t$-regular partitions
by: Singh, Gurinder, et al.
Published: (2024)

Signed Partitions and Rogers-Ramanujan type Identities
by: Alanazi, Abdulaziz M., et al.
Published: (2025)

A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities
by: Rosengren, Hjalmar
Published: (2022)

Recursive Formulas for MacMahon and Ramanujan $q$-series
by: Amdeberhan, Tewodros, et al.
Published: (2024)

Rogers-Ramanujan identities in Statistical Mechanics
by: Campbell, Geoffrey B.
Published: (2024)

Chern-Simons theories with defects, Rogers-Ramanujan type functions and eta-products
by: Okazaki, Tadashi, et al.
Published: (2024)

A generalization of Franklin's partition identity and a Beck-type companion identity
by: Gray, Gabriel, et al.
Published: (2024)

Multiple Rogers--Ramanujan type identities for torus links
by: Chern, Shane
Published: (2024)

Affine Jacobi-Trudi formulas and $q,t$-Rogers-Ramanujan identities
by: Warnaar, S. Ole
Published: (2025)

Multiple Rogers-Ramanujan type identities for inert quadratic orders
by: Chern, Shane, et al.
Published: (2025)

Ramanujan Complexes from Unitary Groups over Number Fields
by: Dalal, Rahul, et al.
Published: (2026)

Rogers-Ramanujan type identities at $Λ_0$ from perfect crystals of exceptional quantum affine algebras
by: Han, Shaolong
Published: (2025)

A Fibonacci variant of the Rogers-Ramanujan identities via crystal energy
by: Tsuchioka, Shunsuke
Published: (2022)

$p$-Adic hypergeometric functions and certain weight three newforms
by: Sulakashna, et al.
Published: (2024)

Bessenrodt--Ono inequalities for $\ell$-tuples of pairwise commuting permutations
by: Abdesselam, Abdelmalek, et al.
Published: (2024)

Tribonacci properties of identities, matrices, and determinants
by: Komatsu, Takao, et al.
Published: (2026)

A new trigonometric identity with applications
by: Sun, Zhi-Wei, et al.
Published: (2019)

Hodge-Newton indecomposability and a combinatorial identity
by: Lim, Dong Gyu
Published: (2023)

Explicit hypergeometric modularity of certain weight two and four Hecke eigenforms
by: Maity, Sipra, et al.
Published: (2026)

On the $p$-adic valuation of third order linear recurrence sequences
by: Antony, Deepa, et al.
Published: (2024)

$p$-Adic quotient sets: linear recurrence sequences with reducible characteristic polynomials
by: Antony, Deepa, et al.
Published: (2024)

Integral representations of Catalan numbers using Touchard-like identities
by: Pain, Jean-Christophe
Published: (2024)

An identity relating Catalan numbers to tangent numbers with arithmetic applications
by: Zhao, Tongyuan, et al.
Published: (2025)

An identity relating $n$-nacci numbers, partitions, and products of binomial coefficients
by: Dragutinović, Dušan
Published: (2026)

Touchard's identity and a detailed determination of the radius of convergence of the Catalan series
by: Pain, Jean-Christophe
Published: (2026)

The Rogers-Ramanujan dissection of a theta function
by: Dixit, Atul, et al.
Published: (2024)

An $\mathrm{A}_2$ Bailey tree and $\mathrm{A}_2^{(1)}$ Rogers-Ramanujan-type identities
by: Warnaar, S. Ole
Published: (2023)

A bijection for tuples of commuting permutations and a log-concavity conjecture
by: Abdesselam, Abdelmalek, et al.
Published: (2023)

Log-concavity with respect to the number of orbits for infinite tuples of commuting permutations
by: Abdesselam, Abdelmalek
Published: (2023)

Combinatorial identities from an inhomogeneous Ising chain
by: Jay, Jessica, et al.
Published: (2024)

Packing sets under finite groups via algebraic incidence structures
by: Hegyvári, Norbert, et al.
Published: (2024)

"Overpartitionized" Rogers--Ramanujan type identities
by: Alanazi, Abdulaziz, et al.
Published: (2025)

Cassini-Catalan Determinants via Ramanujan's Theta Identity
by: G, Nagananda K, et al.
Published: (2025)

Generalized twisted Edwards curves over finite fields and hypergeometric functions
by: Barman, Rupam, et al.
Published: (2024)

Rogers--Ramanujan Type Identities for Rank Two Partial Nahm Sums
by: Wang, Liuquan, et al.
Published: (2025)