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Article: Statistics of Hecke eigenvalues for GL(n)
Title | Statistics of Hecke eigenvalues for GL(n) |
---|---|
Authors | |
Keywords | automorphic forms for GL(n) Central limit theorem Hecke eigenvalues |
Issue Date | 2019 |
Publisher | Walter de Gruyter GmbH & Co KG. |
Citation | Forum Mathematicum, 2019, v. 31 n. 1, p. 167-185 How to Cite? |
Abstract | A 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 Identifier | http://hdl.handle.net/10722/273891 |
ISSN | 2023 Impact Factor: 1.0 2023 SCImago Journal Rankings: 0.692 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Lau, YK | - |
dc.contributor.author | Ng, MH | - |
dc.contributor.author | Wang, Y | - |
dc.date.accessioned | 2019-08-18T14:50:44Z | - |
dc.date.available | 2019-08-18T14:50:44Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Forum Mathematicum, 2019, v. 31 n. 1, p. 167-185 | - |
dc.identifier.issn | 0933-7741 | - |
dc.identifier.uri | http://hdl.handle.net/10722/273891 | - |
dc.description.abstract | A 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.language | eng | - |
dc.publisher | Walter de Gruyter GmbH & Co KG. | - |
dc.relation.ispartof | Forum Mathematicum | - |
dc.rights | The final publication is available at www.degruyter.com | - |
dc.subject | automorphic forms for GL(n) | - |
dc.subject | Central limit theorem | - |
dc.subject | Hecke eigenvalues | - |
dc.title | Statistics of Hecke eigenvalues for GL(n) | - |
dc.type | Article | - |
dc.identifier.email | Lau, YK: yukkamlau@hku.hk | - |
dc.identifier.email | Ng, MH: ngmingho@hku.hk | - |
dc.identifier.authority | Lau, YK=rp00722 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1515/forum-2018-0166 | - |
dc.identifier.scopus | eid_2-s2.0-85053158295 | - |
dc.identifier.hkuros | 301133 | - |
dc.identifier.volume | 31 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 167 | - |
dc.identifier.epage | 185 | - |
dc.identifier.isi | WOS:000455208500009 | - |
dc.publisher.place | Germany | - |
dc.identifier.issnl | 0933-7741 | - |