Scattering theory and automorphic functions

DOI10.1007/BF01084688zbMath0343.35004MaRDI QIDQ1232633

B. S. Pavlov, Ludvig Faddeev

Publication date: 1975

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Analytic continuation of functions of one complex variable (30B40) General topics in partial differential equations (35A99)

Related Items

\(H=xp\) with interaction and the Riemann zeros ⋮ The Laplace operator on a hyperbolic manifold. I: Spectral and scattering theory ⋮ Scattering on Riemannian Symmetric Spaces and Huygens Principle ⋮ Asymptotics of an ordinary differential equation and the Riemann hypothesis ⋮ Inverse scattering with disjoint source and observation sets on asymptotically hyperbolic manifolds ⋮ Systems, scattering and operators, and their connections with number theory ⋮ Statistical mechanics of \(2+1\) gravity from Riemann zeta function and Alexander polynomial: Exact results ⋮ The Riemann zeros and the cyclic renormalization group ⋮ The semiclassical resolvent on conformally compact manifolds with variable curvature at infinity ⋮ The discrete spectrum of the Laplace operator on the fundamental domain of the modular group and the Chebyshev psi-function ⋮ The Riemann zeros as spectrum and the Riemann hypothesis

Cites Work

• Analytische Fortsetzung der Eisensteinreihen zu den parabolischen Spitzen von Grenzkreisgruppen erster Art
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