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Theta lifts for Lorentzian lattices and coefficients of mock theta functions
[article]
2020
arXiv
pre-print
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.
arXiv:1912.08126v2
fatcat:ngfj3nhybnfqtfgs4jyqinabeq