Krauel, Matthew, Rolen, Larry ORCID: 0000-0001-8671-8117 and Woodbury, Michael (2017). ON A RELATION BETWEEN CERTAIN q-HYPERGEOMETRIC SERIES AND MAASS WAVEFORMS. Proc. Amer. Math. Soc., 145 (2). S. 543 - 558. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6826

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Abstract

In this paper, we answer a question of Li, Ngo, and Rhoades concerning a set of q-series related to the q-hypergeometric series sigma from Ramanujan's Lost Notebook. Our results parallel a theorem of Cohen which says that s, along with its partner function sigma(star), encode the coefficients of a Maass waveform of eigenvalue 1/4.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Krauel, MatthewUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Rolen, LarryUNSPECIFIEDorcid.org/0000-0001-8671-8117UNSPECIFIED
Woodbury, MichaelUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-242002
DOI: 10.1090/proc/13246
Journal or Publication Title: Proc. Amer. Math. Soc.
Volume: 145
Number: 2
Page Range: S. 543 - 558
Date: 2017
Publisher: AMER MATHEMATICAL SOC
Place of Publication: PROVIDENCE
ISSN: 1088-6826
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
Mathematics, Applied; MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/24200

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