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- W2963710348 abstract "Bringmann et al. (Trans Am Math Soc 364(5):2393–2410, 2012) showed how to ‘regularize’ mock modular forms by a certain linear combination of the Eichler integral of their shadows in order to obtain p-adic modular forms in the sense of Serre. In this paper, we give a new proof of a refined form of their results (for good primes p) by employing the geometric theory of harmonic Maass forms developed by Candelori (Math Ann 360(1–2):489–517, 2014) and the theory of overconvergent modular forms due to Katz and Coleman. In particular, our main results imply that the p-adic modular forms in Bringmann et al. (2012) are overconvergent." @default.
- W2963710348 created "2019-07-30" @default.
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- W2963710348 date "2017-03-03" @default.
- W2963710348 modified "2023-09-25" @default.
- W2963710348 title "A geometric perspective on p-adic properties of mock modular forms" @default.
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- W2963710348 doi "https://doi.org/10.1186/s40687-017-0095-z" @default.
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