Eisenstein series twisted with non-expanding cusp monodromies

Ksenia Fedosova; Anke Pohl

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arXiv · 1709.00761

Eisenstein series twisted with non-expanding cusp monodromies

Ksenia Fedosova·Anke Pohl

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Abstract

Let $Γ$ be a geometrically finite Fuchsian group and suppose that $χ\colonΓ\to\mathrm{GL}(V)$ is a finite-dimensional representation with non-expanding cusp monodromy. We show that the parabolic Eisenstein series for $Γ$ with twist $χ$ converges on some half-plane. Further, we develop Fourier-type expansions for these Eisenstein series.

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Ksenia Fedosova, Anke Pohl. 2019-08-20. Eisenstein series twisted with non-expanding cusp monodromies. https://arxiv.org/abs/1709.00761

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