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Transactions of the American Mathematical Society

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The Riemann hypothesis for Selberg's zeta-function and the asymptotic behavior of eigenvalues of the Laplace operator

Author: Burton Randol
Journal: Trans. Amer. Math. Soc. 236 (1978), 209-223
MSC: Primary 10H10
MathSciNet review: 0472728
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Abstract: Much of that part of the theory of the Riemann zeta-function based on the Riemann hypothesis carries over to zeta-functions of Selberg's type, and in this way one can get asymptotic information about various eigenvalue problems. The methods are illustrated in the case of a compact Riemann surface.

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Article copyright: © Copyright 1978 American Mathematical Society

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