摘要
We study bosonic tau functions in relation with the charged free bosonic fields.It is proved that up to a constant the only tau function in the Fock space M is the vacuum vector,and some tau functions are given in the completion M by using Schur functions.We also give a new proof of Borchardt’s identity and obtain several q-series identities by using the boson-boson correspondence.
基金
supported by National Natural Science Foundation of China(Grant No.11531004)
the Simons Foundation(Grant No.523868)。