Bruinier, Jan Hendrik ; Schwagenscheidt, Markus (2021)
Theta lifts for Lorentzian lattices and coefficients of mock theta functions.
In: Mathematische Zeitschrift, 297 (34)
doi: 10.1007/s0020902002572y
Article, Bibliographie
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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’ sptfunction, and Ramanujan’s mock theta functions.
Item Type:  Article 

Erschienen:  2021 
Creators:  Bruinier, Jan Hendrik ; Schwagenscheidt, Markus 
Type of entry:  Bibliographie 
Title:  Theta lifts for Lorentzian lattices and coefficients of mock theta functions 
Language:  English 
Date:  April 2021 
Place of Publication:  Berlin ; Heidelberg 
Publisher:  Springer 
Journal or Publication Title:  Mathematische Zeitschrift 
Volume of the journal:  297 
Issue Number:  34 
DOI:  10.1007/s0020902002572y 
Corresponding Links:  
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’ sptfunction, and Ramanujan’s mock theta functions. 
Uncontrolled Keywords:  Mathematics, general 
Classification DDC:  500 Science and mathematics > 510 Mathematics 
Divisions:  04 Department of Mathematics 04 Department of Mathematics > Algebra 04 Department of Mathematics > Algebra > Automorphic Forms, Number Theory, Algebraic Geometry 
Date Deposited:  25 Apr 2024 10:12 
Last Modified:  25 Apr 2024 10:12 
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Theta lifts for Lorentzian lattices and coefficients of mock theta functions. (deposited 23 Apr 2024 12:51)
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