Vertex Operator Representations of Type $C_l^{(1)}$ and Product-Sum Identities

preprint2014arXivOpen access

The purposes of this work are to construct a class of homogeneous vertex representations of $C_l^{(1)} \ (l\geq2)$ , and to derive a series of product-sum identities. These identities have fine interpretation in number theory.

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Vertex Operator Representations of Type $C_l^{(1)}$ and Product-Sum Identities

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Vertex Operator Representations of Type Cl(1)C_l^{(1)}Cl(1)​ and Product-Sum Identities

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Vertex Operator Representations of Type $C_l^{(1)}$ and Product-Sum Identities