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