On the topography of Maass waveforms for PSL(2, Z)

Dennis A. Hejhal; Barry N. Rackner

doi:10.1080/10586458.1992.10504562

On the topography of Maass waveforms for PSL(2, Z)

Dennis A. Hejhal, Barry N. Rackner

School of Mathematics

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

78 Scopus citations

Abstract

This article provides a glimpse into "arithmetical quantum chaos" through a study of the topography and statistical properties of the eigenfunctions of the Laplacian for the modular surface PSL(2, Z)\H.

Original language	English (US)
Pages (from-to)	275-305
Number of pages	31
Journal	Experimental Mathematics
Volume	1
Issue number	4
DOIs	https://doi.org/10.1080/10586458.1992.10504562
State	Published - 1992

Bibliographical note

Funding Information:
Hejhal was supported in part by NSF Grant DMS 89-10744 and by the Minnesota Supercomputer Institute (with CPU time on the Cray-2 and Cray-XMP).

Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.

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10.1080/10586458.1992.10504562

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title = "On the topography of Maass waveforms for PSL(2, Z)",

abstract = "This article provides a glimpse into {"}arithmetical quantum chaos{"} through a study of the topography and statistical properties of the eigenfunctions of the Laplacian for the modular surface PSL(2, Z)\H.",

author = "Hejhal, {Dennis A.} and Rackner, {Barry N.}",

note = "Funding Information: Hejhal was supported in part by NSF Grant DMS 89-10744 and by the Minnesota Supercomputer Institute (with CPU time on the Cray-2 and Cray-XMP). Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",

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journal = "Experimental Mathematics",

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AU - Rackner, Barry N.

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JO - Experimental Mathematics

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ER -

On the topography of Maass waveforms for PSL(2, Z)

Abstract

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