Period functions for Maass wave forms and cohomology

Roelof Bruggeman; John Lewis; Don Zagier

doi:10.1090/memo/1118

Period functions for Maass wave forms and cohomology

Roelof Bruggeman, John Lewis, Don Zagier

Max Planck Institute. Mathematics

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

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

Original language	English
Number of pages	11
Journal	Memoirs of the American Mathematical Society
Volume	237
Issue number	1118
Early online date	8 Jan 2015
DOIs	https://doi.org/10.1090/memo/1118
Publication status	Published - 2015

Keywords

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

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10.1090/memo/1118

pfmw-coh130826Final published version, 1.09 MBLicence: Taverne

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title = "Period functions for Maass wave forms and cohomology",

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 ",

author = "Roelof Bruggeman and John Lewis and Don Zagier",

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language = "English",

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journal = "Memoirs of the American Mathematical Society",

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T1 - Period functions for Maass wave forms and cohomology

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AU - Lewis, John

AU - Zagier, Don

PY - 2015

Y1 - 2015

N2 - We construct explicit isomorphisms between spaces of Maass forms and mixed parabolic cohomology groups.

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

KW - Maass form

KW - period function

KW - cohomology group

KW - parabolic cohomology

KW - principal series

KW - Petersson scalar product

U2 - 10.1090/memo/1118

DO - 10.1090/memo/1118

M3 - Article

SN - 0065-9266

VL - 237

JO - Memoirs of the American Mathematical Society

JF - Memoirs of the American Mathematical Society

IS - 1118

ER -

Period functions for Maass wave forms and cohomology

Abstract

Keywords

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