Bringmann, Kathrin ORCID: 0000-0001-7126-1409, Lovejoy, Jeremy and Mahlburg, Karl (2016). A partition identity and the universal mock theta function g(2). Math. Res. Lett., 23 (1). S. 67 - 81. SOMERVILLE: INT PRESS BOSTON, INC. ISSN 1945-001X

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Abstract

We prove analytic and combinatorial identities reminiscent of Schur's classical partition theorem. Specifically, we show that certain families of overpartitions whose parts satisfy gap conditions are equinumerous with partitions whose parts satisfy congruence conditions. Furthermore, if small parts are excluded, the resulting overpartitions are generated by the product of a modular form and Gordon and McIntosh's universal mock theta function. Finally, we give an interpretation for the universal mock theta function at real arguments in terms of certain conditional probabilities.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Bringmann, KathrinUNSPECIFIEDorcid.org/0000-0001-7126-1409UNSPECIFIED
Lovejoy, JeremyUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Mahlburg, KarlUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-289472
Journal or Publication Title: Math. Res. Lett.
Volume: 23
Number: 1
Page Range: S. 67 - 81
Date: 2016
Publisher: INT PRESS BOSTON, INC
Place of Publication: SOMERVILLE
ISSN: 1945-001X
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:
KeywordsLanguage
THEOREMMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/28947

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