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- W3050182513 abstract "We define a regularized Shintani theta lift which maps weight $2k+2$ ($k in mathbb {Z}, k geq 0$) harmonic Maass forms for congruence subgroups to (sesqui-)harmonic Maass forms of weight $3/2+k$ for the Weil representation of an even lattice of signature $(1,2)$. We show that its Fourier coefficients are given by traces of CM values and regularized cycle integrals of the input harmonic Maass form. Further, the Shintani theta lift is related via the $xi$-operator to the Millson theta lift studied in our earlier work. We use this connection to construct $xi$-preimages of Zagierâs weight $1/2$ generating series of singular moduli and of some of Ramanujanâs mock theta functions." @default.
- W3050182513 created "2020-08-24" @default.
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- W3050182513 date "2021-01-20" @default.
- W3050182513 modified "2023-10-16" @default.
- W3050182513 title "Shintani theta lifts of harmonic Maass forms" @default.
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- W3050182513 doi "https://doi.org/10.1090/tran/8265" @default.
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