On an Analog of Selberg's Eigenvalue Conjecture for SL_3(Z)

Details On an Analog of Selberg's Eigenvalue Conjecture for SL_3(Z) On an Analog of Selberg's Eigenvalue Conjecture for SL_3(Z)

1998-11-27

arxiv.org/abs/math/9811158v1

Mathematics

Spectral Theory

Scientific paper

Let H be the homogeneous space associated to the group PGL_3(R). Let X=\Gamma/H where \Gamma=SL_3(Z) and consider the first non-trivial eigenvalue \lambda_1 of the Laplacian on L^2(X). Using geometric considerations, we prove the inequality \lambda_1

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