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

Published 27 Feb 2019 in math.NT, math.QA, and math.RT | (1902.10554v1)

Abstract: 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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