2018
Том 70
№ 9

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

Abstract

We construct a class of homogeneous vertex representations of $C_l^{(1)},\; l ≥ 2$, and deduce a series of product-sum identities. These identities have fine interpretation in the number theory.

English version (Springer): Ukrainian Mathematical Journal 66 (2014), no. 2, pp 253-272.

Citation Example: Hu Naihong, Xia Li-Meng Vertex Operator Representations of Type $C_l^{(1)}$ and Product-Sum Identities // Ukr. Mat. Zh. - 2014. - 66, № 2. - pp. 226–243.

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