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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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Bibliografski detalji
Glavni autori: Bringmann, Kathrin, Ono, Ken
Format: Artigo
Jezik:Inglês
Izdano: National Academy of Sciences 2007
Teme:
Online pristup: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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