scientific article; zbMATH DE number 1095994

Jürgen Elstrodt, Fritz J. Grunewald, Jens Mennicke

Publication date: 10 December 1997

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

resolvent kernel Eisenstein series Selberg trace formula scattering matrix Selberg zeta function Fourier expansions Weyl law mass formula prime geodesic theorem automorphic functions Huber's theorem Maass-Selberg relations spectral theory of the Laplacian $\text{PSL}(2, \mathbb C)$discontinuous groups on hyperbolic 3-space Eisenstein series over imaginary quadratic fields reduction theory for integral binary hermitian forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Scattering theory for PDEs (35P25) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Modular and automorphic functions (11F03) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Bilinear and Hermitian forms (11E39) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

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