涉及二重、三重与四重和的 Rogers-Ramanujan 型恒等式
组合数学
2023-08-02 v2 数论
摘要
我们证明了若干涉及二重、三重与四重和的新 Rogers-Ramanujan 型恒等式。它们是在使用 Maple 进行广泛搜索后发现的。证明的主要思想是将它们归约为文献中某些已知恒等式。这是通过直接求和或常数项方法实现的。作为推论，我们也得到了一些新的单和恒等式。
引用
@article{arxiv.2306.17085,
title = {Rogers-Ramanujan type identities involving double, triple and quadruple sums},
author = {Zhi Li and Liuquan Wang},
journal= {arXiv preprint arXiv:2306.17085},
year = {2023}
}
备注
50 pages. We added Remarks 1 and 2 and some more general formulas such as (4.53)-(4.54). Some formulas in the first version were deleted since they are special cases of these new parameterized identities