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Lifting cusp forms to Maass forms with an application to partitions
For 2 < k ∈ [Formula: see text] , we define lifts of cuspidal Poincaré series in S(k)(Γ(0)(N)) to weight 2 − k harmonic weak Maass forms. This construction answers a question of Dyson by providing the general framework “explaining” Ramanujan's mock theta functions. As an application, we show...
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| Autors principals: | , |
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| Format: | Artigo |
| Idioma: | Inglês |
| Publicat: |
National Academy of Sciences
2007
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| Matèries: | |
| Accés en línia: | https://ncbi.nlm.nih.gov/pmc/articles/PMC1820651/ https://ncbi.nlm.nih.gov/pubmed/17360420 https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.0611414104 |
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