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Article: Statistics of Hecke eigenvalues for GL(n)

TitleStatistics of Hecke eigenvalues for GL(n)
Authors
Lau, YKNg, MHWang, Y
Keywordsautomorphic forms for GL(n)
Central limit theorem
Hecke eigenvalues
Issue Date2019
PublisherWalter de Gruyter GmbH & Co KG.
Citation
Forum Mathematicum, 2019, v. 31 n. 1, p. 167-185 How to Cite?
DOI: http://dx.doi.org/10.1515/forum-2018-0166
AbstractA two-dimensional central limit theorem for the eigenvalues of GL(n) Hecke-Maass cusp forms is newly derived. The covariance matrix is diagonal and hence verifies the statistical independence between the real and imaginary parts of the eigenvalues. We also prove a central limit theorem for the number of weighted eigenvalues in a compact region of the complex plane, and evaluate some moments of eigenvalues for the Hecke operator Tp which reveal interesting interferences. © 2018 Walter de Gruyter GmbH, Berlin/Boston.
Persistent Identifierhttp://hdl.handle.net/10722/273891
ISSN
0933-7741
2021 Impact Factor: 0.943
2020 SCImago Journal Rankings: 0.865
ISI Accession Number ID
WOS:000455208500009

 

DC FieldValueLanguage
dc.contributor.authorLau, YK-
dc.contributor.authorNg, MH-
dc.contributor.authorWang, Y-
dc.date.accessioned2019-08-18T14:50:44Z-
dc.date.available2019-08-18T14:50:44Z-
dc.date.issued2019-
dc.identifier.citationForum Mathematicum, 2019, v. 31 n. 1, p. 167-185-
dc.identifier.issn0933-7741-
dc.identifier.urihttp://hdl.handle.net/10722/273891-
dc.description.abstractA two-dimensional central limit theorem for the eigenvalues of GL(n) Hecke-Maass cusp forms is newly derived. The covariance matrix is diagonal and hence verifies the statistical independence between the real and imaginary parts of the eigenvalues. We also prove a central limit theorem for the number of weighted eigenvalues in a compact region of the complex plane, and evaluate some moments of eigenvalues for the Hecke operator Tp which reveal interesting interferences. © 2018 Walter de Gruyter GmbH, Berlin/Boston.-
dc.languageeng-
dc.publisherWalter de Gruyter GmbH & Co KG.-
dc.relation.ispartofForum Mathematicum-
dc.rightsThe final publication is available at www.degruyter.com-
dc.subjectautomorphic forms for GL(n)-
dc.subjectCentral limit theorem-
dc.subjectHecke eigenvalues-
dc.titleStatistics of Hecke eigenvalues for GL(n)-
dc.typeArticle-
dc.identifier.emailLau, YK: yukkamlau@hku.hk-
dc.identifier.emailNg, MH: ngmingho@hku.hk-
dc.identifier.authorityLau, YK=rp00722-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1515/forum-2018-0166-
dc.identifier.scopuseid_2-s2.0-85053158295-
dc.identifier.hkuros301133-
dc.identifier.volume31-
dc.identifier.issue1-
dc.identifier.spage167-
dc.identifier.epage185-
dc.identifier.isiWOS:000455208500009-
dc.publisher.placeGermany-
dc.identifier.issnl0933-7741-

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