Eisenstein series with non-unitary twists

Anton Deitmar; Frank Monheim

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arXiv · 1612.06993

Eisenstein series with non-unitary twists

Anton Deitmar·Frank Monheim

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Abstract

It is shown that for a non-unitary twist of a Fuchsian group, which is unitary at the cusps, Eisenstein series converge in some half-plane. It is shown that invariant integral operators provide a spectral decomposition of the space of cusp forms and that Eisenstein series admit a meromorphic continuation.

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Anton Deitmar, Frank Monheim. 2016-12-21. Eisenstein series with non-unitary twists. https://arxiv.org/abs/1612.06993

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