The discrete spectrum of the Laplace operator on the fundamental domain of the modular group and the Chebyshev psi-function
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Publication:5241547
DOI10.1070/IM8783zbMath1489.11079OpenAlexW2905796726MaRDI QIDQ5241547
Publication date: 31 October 2019
Published in: Izvestiya: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/im8783
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Other Dirichlet series and zeta functions (11M41) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Related Items (2)
Distribution of prime numbers and the discrete spectrum of the Laplace operator ⋮ Relationship between the discrete and resonance spectrum for the Laplace operator on a noncompact hyperbolic Riemann surface
Cites Work
- The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
- Scattering theory and automorphic functions
- The Selberg trace formula and the Riemann zeta-function
- The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
- A formula for the Chebyshev psi function
- Relationship between the discrete and resonance spectrum for the Laplace operator on a noncompact hyperbolic Riemann surface
- SELBERG'S TRACE FORMULA FOR THE HECKE OPERATOR GENERATED BY AN INVOLUTION, AND THE EIGENVALUES OF THE LAPLACE-BELTRAMI OPERATOR ON THE FUNDAMENTAL DOMAIN OF THE MODULAR GROUP $ PSL(2,\mathbf{Z})$
- SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS, THE SELBERG ZETA-FUNCTION, AND SOME PROBLEMS OF ANALYTIC NUMBER THEORY AND MATHEMATICAL PHYSICS
- Scattering Theory for Automorphic Functions. (AM-87)
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