Eisenstein series with non-unitary twists
Number Theory
2018-04-09 v2
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.
Keywords
Cite
@article{arxiv.1612.06993,
title = {Eisenstein series with non-unitary twists},
author = {Anton Deitmar and Frank Monheim},
journal= {arXiv preprint arXiv:1612.06993},
year = {2018}
}