Abstract
Several authors have recently proved results which express cusp forms as p-adic limits of weakly holomorphic modular forms under repeated application of Atkin's U-operator. The proofs involve techniques from the theory of weak harmonic Maass forms, and in particular a result of Guerzhoy, Kent, and Ono on the p-adic coupling of mock modular forms and their shadows. Here we obtain strengthened versions of these results using techniques from the theory of holomorphic modular forms.
Original language | English (US) |
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Pages (from-to) | 360-373 |
Number of pages | 14 |
Journal | Journal of Number Theory |
Volume | 168 |
DOIs | |
State | Published - Nov 1 2016 |
Keywords
- Cusp forms as p-adic limits
- Modular forms
ASJC Scopus subject areas
- Algebra and Number Theory