Eisenstein series with non-unitary twists
classification
🧮 math.NT
keywords
eisensteinseriesnon-unitaryadmitcontinuationconvergecuspcusps
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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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