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On essentially cuspidal noncongruence subgroups of PSL(2,Z

โœ Scribed by Alexei B Venkov


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
346 KB
Volume
92
Category
Article
ISSN
0022-1236

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On the Distribution of the Eigenvalues o
โœ C.J. Mozzochi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 =1ร‚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