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Harmonic Maass forms associated to real quadratic fields

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 نشر من قبل Yingkun Li
 تاريخ النشر 2016
  مجال البحث
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In this paper, we explicitly construct harmonic Maass forms that map to the weight one theta series associated by Hecke to odd ray class group characters of real quadratic fields. From this construction, we give precise arithmetic information contained in the Fourier coefficients of the holomorphic part of the harmonic Maass form, establishing the main part of a conjecture of the second author.



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