Bruinier, Jan Hendrik and Schwagenscheidt, Markus . Theta lifts for Lorentzian lattices and coefficients of mock theta functions. Math. Z.. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1823

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Abstract

We evaluate regularized theta lifts for Lorentzian lattices in three different ways. In particular, we obtain formulas for their values at special points involving coefficients of mock theta functions. By comparing the different evaluations, we derive recurrences for the coefficients of mock theta functions, such as Hurwitz class numbers, Andrews' spt-function, and Ramanujan's mock theta functions.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Bruinier, Jan HendrikUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Schwagenscheidt, MarkusUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-326676
DOI: 10.1007/s00209-020-02572-y
Journal or Publication Title: Math. Z.
Publisher: SPRINGER HEIDELBERG
Place of Publication: HEIDELBERG
ISSN: 1432-1823
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MODULAR-FORMS; SMALLEST PARTS; HEEGNER DIVISORS; VALUES; SUMS; DERIVATIVES; NUMBERS; CURVES; SERIESMultiple languages
MathematicsMultiple languages
URI: http://kups.ub.uni-koeln.de/id/eprint/32667

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