Universität zu Köln

Zwegers, Sander ORCID: 0000-0002-3800-5777 (2019). Multivariable Appell functions and nonholomorphic Jacobi forms. Res. Math. Sci., 6 (1). CHAM: SPRINGER INTERNATIONAL PUBLISHING AG. ISSN 2197-9847

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Abstract

Multivariable Appell functions show up in the work of Kac and Wakimoto in the computation of character formulas for certain sl(m, 1)<^> modules. Bringmann and Ono showed that the character formulas for the sl(m, 1)<^> modules L(Lambda((s))), where L(Lambda((s))) is the irreducible sl(m, 1)<^> module with the highest weight Lambda((s)), can be seen as the holomorphic parts of certain nonholomorphic modular functions. Here, we consider more general multivariable Appell functions and relate them to nonholomorphic Jacobi forms.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Zwegers, Sander UNSPECIFIED orcid.org/0000-0002-3800-5777 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-158919
DOI:	10.1007/s40687-019-0178-0
Journal or Publication Title:	Res. Math. Sci.
Volume:	6
Number:	1
Date:	2019
Publisher:	SPRINGER INTERNATIONAL PUBLISHING AG
Place of Publication:	CHAM
ISSN:	2197-9847
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 THETA-FUNCTIONS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/15891