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

86 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)\textbackslash{}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.",

year = "1992",

doi = "10.1080/10586458.1992.10504562",

language = "English (US)",

volume = "1",

pages = "275--305",

journal = "Experimental Mathematics",

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AU - Hejhal, Dennis A.

AU - Rackner, Barry N.

N1 - 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.

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0001107629

UR - https://www.scopus.com/pages/publications/0001107629#tab=citedBy

U2 - 10.1080/10586458.1992.10504562

DO - 10.1080/10586458.1992.10504562

M3 - Article

AN - SCOPUS:0001107629

SN - 1058-6458

VL - 1

SP - 275

EP - 305

JO - Experimental Mathematics

JF - Experimental Mathematics

IS - 4

ER -

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

Abstract

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