We construct a class of homogeneous vertex representations of C (1) l , l ≥ 2, and deduce a series of product-sum identities. These identities have fine interpretation in the number theory.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 2, pp. 226–243, February, 2014.
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Xia, LM., Hu, N. Vertex Operator Representations of Type C (1) l and Product-Sum Identities. Ukr Math J 66, 253–272 (2014). https://doi.org/10.1007/s11253-014-0927-6
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DOI: https://doi.org/10.1007/s11253-014-0927-6