Males, Joshua ORCID: 0000-0002-0324-601X, Mono, Andreas and Rolen, Larry (2021). Higher depth mock theta functions and q-hypergeometric series. Forum Math., 33 (4). S. 857 - 867. BERLIN: WALTER DE GRUYTER GMBH. ISSN 1435-5337

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Abstract

In the theory of harmonic Maass forms and mock modular forms, mock theta functions are distinguished examples which arose from q-hypergeometric examples of Ramanujan. Recently, there has been a body of work on higher depth mock modular forms. Here, we introduce distinguished examples of these forms, which we call higher depth mock theta functions, and develop q-hypergeometric expressions for them. We provide three examples of mock theta functions of depth two, each arising by multiplying a classical mock theta function with a certain specialization of a universal mock theta function. In addition, we give their modular completions, and relate each to a q-hypergeometric series.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Males, JoshuaUNSPECIFIEDorcid.org/0000-0002-0324-601XUNSPECIFIED
Mono, AndreasUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Rolen, LarryUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-570731
DOI: 10.1515/forum-2021-0013
Journal or Publication Title: Forum Math.
Volume: 33
Number: 4
Page Range: S. 857 - 867
Date: 2021
Publisher: WALTER DE GRUYTER GMBH
Place of Publication: BERLIN
ISSN: 1435-5337
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MODULAR-FORMS; CONJECTUREMultiple languages
Mathematics, Applied; MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/57073

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