A proof of conjectured partition identities of Nandi
A proof of conjectured partition identities of Nandi
复制标题
Nandi 猜想分区身份的证明
DOI：
10.1353/ajm.2024.a923238
复制
发表时间：
2019
影响因子：
1.7
通讯作者：
Shunsuke Tsuchioka
中科院分区：
文献类型：
--
作者：
Motoki Takigiku;Shunsuke Tsuchioka
利用形式语言理论中的有限自动机，推广了Andrews关于链划分理想的理论，并利用它证明了南迪通过仿射李代数A^{（2）}_{2}$的4级标准模的顶点算子理论构造而提出的模为14的三个Roger-Ramanujan型恒等式.
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 for modulus 14 that were posed by Nandi through a vertex operator theoretic construction of the level 4 standard modules of the affine Lie algebra $A^{(2)}_{2}$.