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p-adic coupling of mock modular forms and shadows

A “mock modular form” is the holomorphic part of a harmonic Maass form f. The nonholomorphic part of f is a period integral of its “shadow,” a cusp form g. A direct method for relating the coefficients of shadows and mock modular forms is not known. We solve these problems when the shadow is an inte...

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Autori principali: Guerzhoy, Pavel, Kent, Zachary A., Ono, Ken
Natura: Artigo
Lingua:Inglês
Pubblicazione: National Academy of Sciences 2010
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Accesso online:https://ncbi.nlm.nih.gov/pmc/articles/PMC2852000/
https://ncbi.nlm.nih.gov/pubmed/20308587
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1073/pnas.1001355107
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