On the behaviour of eigenvalues of Hecke operators

In this paper we use the Selberg trace formula for Hecke operators in order to obtain information on the distribution of the eigenvalues of Hecke operators in the situation of the hyperbolic 3-space. We prove that the eigenvalues are equidistributed with respect to a measure that tends to the Sato-T...

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Bibliographic Details
Published in:Mathematical research letters 2010, Vol.17 (1), p.51-67
Main Authors: Imamoglu, Özlem, Raulf, Nicole
Format: Article
Language:English
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Summary:In this paper we use the Selberg trace formula for Hecke operators in order to obtain information on the distribution of the eigenvalues of Hecke operators in the situation of the hyperbolic 3-space. We prove that the eigenvalues are equidistributed with respect to a measure that tends to the Sato-Tate measure.
ISSN:1073-2780
1945-001X
DOI:10.4310/MRL.2010.v17.n1.a5