The scattering matrix for the Hilbert modular group

DOI10.1090/S0002-9939-09-09800-1zbMath1260.11034OpenAlexW2041135268MaRDI QIDQ5322847

Riad Masri

Publication date: 23 July 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-09800-1

Mathematics Subject Classification ID

Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (1)

Explicit formulas for the spectral side of the trace formula of ${\rm SL(2)}$

Cites Work

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• On the functional equations satisfied by Eisenstein series
• Eisenstein matrix and existence of cusp forms in rank one symmetric spaces
• Fourier expansion of Eisenstein series on the Hilbert modular group and Hilbert class fields
• The Determinant of the Eisenstein Matrix and Hilbert Class Fields
• Perturbation Theory for the Laplacian on Automorphic Functions
• Scattering Theory for Automorphic Functions. (AM-87)

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