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arXiv · 2311.18514

The Sylvester Theorem and the Rogers-Ramanujan Identities over Totally Real Number Fields

Se Wook Jang·Byeong Moon Kim·Kwang Hoon Kim
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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.

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Se Wook Jang, Byeong Moon Kim, Kwang Hoon Kim. 2023-11-30. The Sylvester Theorem and the Rogers-Ramanujan Identities over Totally Real Number Fields. https://arxiv.org/abs/2311.18514

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