Universität zu Köln

Males, Joshua ORCID: 0000-0002-0324-601X (2020). A family of vector-valued quantum modular forms of depth two. Int. J. Number Theory, 16 (1). S. 29 - 65. SINGAPORE: WORLD SCIENTIFIC PUBL CO PTE LTD. ISSN 1793-7310

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Abstract

We introduce and investigate an infinite family of functions which are shown to have generalized quantum modular properties. We realize their companions in the lower half plane both as double Eichler integrals and as non-holomorphic theta functions with coefficients given by double error functions. Further, we view these Eichler integrals in a modular setting as parts of certain weight two indefinite theta series.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Males, Joshua UNSPECIFIED orcid.org/0000-0002-0324-601X UNSPECIFIED
URN:	urn:nbn:de:hbz:38-347442
DOI:	10.1142/S1793042120500025
Journal or Publication Title:	Int. J. Number Theory
Volume:	16
Number:	1
Page Range:	S. 29 - 65
Date:	2020
Publisher:	WORLD SCIENTIFIC PUBL CO PTE LTD
Place of Publication:	SINGAPORE
ISSN:	1793-7310
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language UNIMODAL SEQUENCES Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/34744