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
Full text not available from this repository.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: |
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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 | ||||||||||||||||
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URI: | http://kups.ub.uni-koeln.de/id/eprint/57073 |
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