Geodesic
The discrete spectrum of the Laplace operator on the fundamental domain of the modular group and the Chebyshev psi-function
Izvestiya. Mathematics , Tome 83 (2019) no. 5, pp. 1066-1079.

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An explicit formula is obtained expressing the Chebyshev psi-function in terms of the discrete spectrum of the Laplace operator on the fundamental domain of the modular group.
Keywords: Selberg formula, spectrum of the Laplace operator, Chebyshev psi-function, modular group. 
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D. A. Popov. The discrete spectrum of the Laplace operator on the fundamental domain of the modular group and the Chebyshev psi-function. Izvestiya. Mathematics , Tome 83 (2019) no. 5, pp. 1066-1079. http://geodesic.mathdoc.fr/item/IM2_2019_83_5_a6/

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