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Eisenstein series twisted with non-expanding cusp monodromies

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 نشر من قبل Anke Pohl
 تاريخ النشر 2017
  مجال البحث
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Let $Gamma$ be a geometrically finite Fuchsian group and suppose that $chicolonGammatomathrm{GL}(V)$ is a finite-dimensional representation with non-expanding cusp monodromy. We show that the parabolic Eisenstein series for $Gamma$ with twist $chi$ converges on some half-plane. Further, we develop Fourier-type expansions for these Eisenstein series.


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