The Sylvester Theorem and the Rogers-Ramanujan Identities over Totally Real Number Fields
Number Theory
2023-12-01 v1
Abstract
In this paper, we prove two identities on the partition of a totally positive algebraic integer over a totally real number field which are the generalization of the Sylvester Theorem and that of the Rogers-Ramanujan Identities. Additionally, we give an another version of generalized Rogers-Ramanujan Identities.
Keywords
Cite
@article{arxiv.2311.18514,
title = {The Sylvester Theorem and the Rogers-Ramanujan Identities over Totally Real Number Fields},
author = {Se Wook Jang and Byeong Moon Kim and Kwang Hoon Kim},
journal= {arXiv preprint arXiv:2311.18514},
year = {2023}
}