Universität zu Köln

Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Kaszian, Jonas, Milas, Antun and Zwegers, Sander (2020). Rank two false theta functions and Jacobi forms of negative definite matrix index. Adv. Appl. Math., 112. SAN DIEGO: ACADEMIC PRESS INC ELSEVIER SCIENCE. ISSN 1090-2074

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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. (C) 2019 Elsevier Inc. All rights reserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Bringmann, Kathrin UNSPECIFIED orcid.org/0000-0001-7126-1409 UNSPECIFIED Kaszian, Jonas UNSPECIFIED UNSPECIFIED UNSPECIFIED Milas, Antun UNSPECIFIED UNSPECIFIED UNSPECIFIED Zwegers, Sander UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-352709
DOI:	10.1016/j.aam.2019.101946
Journal or Publication Title:	Adv. Appl. Math.
Volume:	112
Date:	2020
Publisher:	ACADEMIC PRESS INC ELSEVIER SCIENCE
Place of Publication:	SAN DIEGO
ISSN:	1090-2074
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language MODULAR-FORMS; ALGEBRAS Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/35270