Cover Image

Companions to the Andrews-Gordon and Andrews-Bressoud Identities and Recent Conjectures of Capparelli, Meurman, Primc, and Primc

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Russell, Matthew C.
Format:	Preprint
Published:	2023
Subjects:	Combinatorics Number Theory Representation Theory 11P84 (Primary) 05A17, 17B67 (Secondary)
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Remarks on the conjectures of Capparelli, Meurman, Primc and Primc
by: Kanade, Shashank, et al.
Published: (2024)

Combinatorial approach to Andrews-Gordon and Bressoud type identities
by: Dousse, Jehanne, et al.
Published: (2024)

Combinatorial proofs of several partition identities of Andrews and Merca
by: Liu, Ji-Cai, et al.
Published: (2024)

Some identities of the sums-of-tails type
by: Dixit, Atul, et al.
Published: (2025)

On a pair of three-colored (mod 10) partition identities
by: Russell, Matthew C.
Published: (2025)

Andrews--Gordon type identities with parity restrictions through particle motion
by: Dousse, Jehanne, et al.
Published: (2026)

Transformation properties of Andrews-Beck $NT$ functions and generalized Appell-Lerch series
by: Chen, Rong, et al.
Published: (2024)

Extension of Bressoud's generalization of Borwein's conjecture and some exact results
by: Berkovich, Alexander, et al.
Published: (2024)

Three more proofs of two congruences for Merca's partition function
by: Zanello, Fabrizio
Published: (2025)

Non-Rascoe partitions and a rank parity function associated to the Rogers-Ramanujan partitions
by: Dixit, Atul, et al.
Published: (2025)

Partition identities from higher level crystals of $A_1^{(1)}$
by: Dousse, Jehanne, et al.
Published: (2021)

Chebyshev quotients, Demazure multiplicities, and Dyck-path models
by: Biswal, Rekha, et al.
Published: (2026)

Finding systems of functional equations for Andrews-Gordon type series
by: Kılıç, Yalçın Can, et al.
Published: (2025)

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

Tight cylindric partitions
by: Kanade, Shashank, et al.
Published: (2025)

Arithmetic Properties of Andrews' Singular Overpartitions
by: Chen, Shi-Chao, et al.
Published: (2014)

Rogers-Ramanujan exact sequences and free representations over free generalized vertex algebras
by: Kawasetsu, Kazuya
Published: (2024)

Partitions with unique largest part and their generating functions
by: Kaur, H, et al.
Published: (2025)

SIP classes and four-parameter partition identities
by: Li, Runqiao
Published: (2026)

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

On a nonnegativity conjecture of Andrews
by: Alamoudi, Yazan
Published: (2025)

On congruence conjectures of Andrews and Bachraoui
by: Banerjee, Koustav, et al.
Published: (2026)

Standard posets and integral weight bases for symmetric powers of minuscule representations
by: Strayer, Michael C.
Published: (2025)

Extending Andrews and Newman's refinement of the crank-mex theorem
by: Andrews, George E., et al.
Published: (2025)

A Weighted Words Study of MacMahon's and Russell's Modulo 6 Identities
by: Uncu, Ali K.
Published: (2026)

Andrews--Gordon and Stanton type identities: bijective and Bailey lemma approaches
by: Dousse, Jehanne, et al.
Published: (2025)

Parity Considerations for Mex-Related Partition Functions of Andrews and Newman
by: da Silva, Robson, et al.
Published: (2020)

An Exploration of Crank Generating functions for $t$-core partitions
by: Wilson, Samuel
Published: (2026)

Congruences via Partitions with Exactly Two Part Sizes
by: Jirattikansakul, Sittinon, et al.
Published: (2026)

Extending Congruences for the number of smallest parts in overpartitions with smallest part even
by: da Silva, Robson
Published: (2025)

Elementary Proofs of Infinitely Many Congruences for $k$-Elongated Partition Diamonds
by: da Silva, Robson, et al.
Published: (2021)

One variable Generalization of five entries of Ramanujan and their finite analogue
by: Agarwal, Archit
Published: (2024)

Parity of the coefficients of certain eta-quotients, III: two special classes
by: Keith, William J., et al.
Published: (2024)

Fixed perimeter analogues of some partition results
by: Gray, Gabriel, et al.
Published: (2025)

On Glaisher's Partition Theorem
by: Andrews, George E., et al.
Published: (2025)

A refinement of a result of Andrews and Newman on the sum of minimal excludants
by: Baruah, Nayandeep Deka, et al.
Published: (2021)

Unexpected Biases between Congruence Classes for Parts in k-indivisible Partitions
by: Jackson, Faye, et al.
Published: (2022)

Arithmetic properties of MacMahon-type sums of divisors
by: Sellers, James A., et al.
Published: (2024)

On the number of missing integers in partitions
by: Bhoria, Subhash Chand, et al.
Published: (2026)

Overpartitions and Bressoud's conjecture, II
by: He, Thomas Y., et al.
Published: (2020)