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

Kathrin Bringmann; Jonas Kaszian; Antun Milas; Sander Zwegers

doi:10.1016/j.aam.2019.101946

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

Kathrin Bringmann
, Jonas Kaszian
, Antun Milas
, Sander Zwegers

Mathematics and Statistics

University at Albany

University of Cologne

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

In this paper, we study a family of rank two false theta series associated to the root lattice of type A₂. 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.

Original language	English
Article number	101946
Journal	Advances in Applied Mathematics
Volume	112
DOIs	https://doi.org/10.1016/j.aam.2019.101946
State	Published - Jan 2020

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title = "Rank two false theta functions and Jacobi forms of negative definite matrix index",

abstract = "In this paper, we study a family of rank two false theta series associated to the root lattice of type A2. 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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AU - Kaszian, Jonas

AU - Milas, Antun

AU - Zwegers, Sander

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AB - In this paper, we study a family of rank two false theta series associated to the root lattice of type A2. 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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DO - 10.1016/j.aam.2019.101946

M3 - Article

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VL - 112

JO - Advances in Applied Mathematics

JF - Advances in Applied Mathematics

M1 - 101946

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

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