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- Publisher
- de Gruyter
- Copyright
- © 2018 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- DOI
- 10.1515/forum-2018-0166
- Publisher site
- See Article on Publisher Site
Abstract
AbstractA two-dimensional central limit theorem for the eigenvalues of GL(n){\mathrm{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{T_{p}}which reveal interesting interferences.
Journal
Forum Mathematicum – de Gruyter
Published: Jan 1, 2019