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Tau functions of the charged free bosons

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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.
出处 《Science China Mathematics》 SCIE CSCD 2020年第11期2157-2176,共20页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant No.11531004) the Simons Foundation(Grant No.523868)。
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