A proof of conjectured partition identities of Nandi
Combinatorics
2020-09-04 v2 Number Theory
Quantum Algebra
Representation Theory
Abstract
We generalize the theory of linked partition ideals due to Andrews using finite automata in formal language theory and apply it to prove three Rogers--Ramanujan type identities of modulo 14 that were posed by Nandi through vertex operator theoretic construction of the level 4 standard modules of the affine Lie algebra .
Keywords
Cite
@article{arxiv.1910.12461,
title = {A proof of conjectured partition identities of Nandi},
author = {Motoki Takigiku and Shunsuke Tsuchioka},
journal= {arXiv preprint arXiv:1910.12461},
year = {2020}
}
Comments
23pages, revised for submission