Rank two false theta functions and Jacobi forms of negative definite matrix index

Antun Milas; Jonas Kaszian; Kathrin Bringmann; Sander Zwegers

arxiv: 1902.10554 · v1 · pith:5MJO2AJKnew · submitted 2019-02-27 · 🧮 math.NT · math.QA· math.RT

Rank two false theta functions and Jacobi forms of negative definite matrix index

Kathrin Bringmann , Jonas Kaszian , Antun Milas , Sander Zwegers This is my paper

classification 🧮 math.NT math.QAmath.RT

keywords definitefalsefunctionsindexjacobimatrixnegativerank

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In this paper, we study a family of rank two false theta series associated to the root lattice of type $A_2$. We show that these functions appear as Fourier coefficients of a meromorphic Jacobi form of negative definite matrix index. Hypergeometric $q$-series identities are also obtained.

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Rank two false theta functions and Jacobi forms of negative definite matrix index

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