Period functions for Maass wave forms and cohomology

Publication date

2015

Authors

Bruggeman, Roelof W.ORCID 0000-0002-6804-6211ISNI 0000000110040856
Lewis, John
Zagier, Don

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Advisors

Supervisors

Document Type

Article
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Abstract

We construct explicit isomorphisms between spaces of Maass forms and mixed parabolic cohomology groups.

Keywords

Maass form, period function, cohomology group, parabolic cohomology, principal series, Petersson scalar product, Taverne

Citation

Bruggeman, R, Lewis, J & Zagier, D 2015, 'Period functions for Maass wave forms and cohomology', Memoirs of the American Mathematical Society, vol. 237, no. 1118. https://doi.org/10.1090/memo/1118