Multivariable Appell Functions
نویسنده
چکیده
Multivariable Appell functions show up in the work of Kac and Wakimoto in the computation of character formulas for certain s`(m, 1)∧ modules. Recently Bringmann and Ono showed that the character formulas for the s`(m, 1)∧ modules L(Λ(s)), where L(Λ(s)) is the irreducible s`(m, 1) ∧ module with highest weight Λ(s), can be seen as the “holomorphic parts” of certain nonholomorphic modular functions. In this paper we consider general multivariable Appell functions, and relate them to non-holomorphic Jacobi forms.
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تاریخ انتشار 2010