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On coefficients of Poincaré series and single-valued periods of modular forms

We prove that the field generated by the Fourier coefficients of weakly holomorphic Poincaré series of a given level [Formula: see text] and integral weight [Formula: see text] coincides with the field generated by the single-valued periods of a certain motive attached to [Formula: see text] . This...

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Detalles Bibliográficos
Autor principal: Fonseca, Tiago J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7651428/
https://www.ncbi.nlm.nih.gov/pubmed/33195991
http://dx.doi.org/10.1007/s40687-020-00232-5