Author:
Bruinier Jan Hendrik,Schwagenscheidt Markus
Abstract
AbstractWe 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.
Publisher
Springer Science and Business Media LLC
Reference41 articles.
1. Ahlgren, S., Andersen, N.: Euler-like recurrences for smallest parts functions. Ramanujan J. 36, 237–248 (2015)
2. Ahlgren, S., Andersen, N.: Algebraic and transcendental formulas for the smallest parts function. Adv. Math. 289, 411–437 (2016)
3. Andrews, G.E.: The number of smallest parts in the partitions of $$n$$. J. Reine Angew. Math. 624, 133–142 (2008)
4. Borcherds, R.E.: Automorphic forms with singularities on Grassmannians. Invent. Math. 132(3), 491–562 (1998)
5. Bringmann, K.: On the explicit construction of higher deformations of partition statistics. Duke Math. J. 144, 195–233 (2008)
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