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On the distribution of the eigenvalues of the hyperbolic Laplacian for PSL(2,Z)

✍ Scribed by C.J. Mozzochi


Book ID
105875996
Publisher
Springer-Verlag
Year
2000
Tongue
French
Weight
142 KB
Volume
234
Category
Article
ISSN
0025-5874

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On the Distribution of the Eigenvalues o
✍ C.J. Mozzochi πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 164 KB

Let H be the upper half plane and X=SL(2, Z)"H the corresponding modular surface. Theory and experiment suggest that the eigenvalues of the hyperbolic Laplacian, 2, on X, denoted by \* j =1Γ‚4+t 2 j , behave in many ways like a random sequence. In particular, for any A>0 the numbers A\* j , j=1, 2, 3