Vertex Operator Representations of Type $C_l^{(1)}$ and Product-Sum   Identities
  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. 
Li-meng Xia and Naihong Hu
math.QA math.NT