Selberg trace formula for the Hilbert modular group of a real quadratic algebraic number field

DOI10.1007/BF01885509zbMath0488.10027OpenAlexW2034461425MaRDI QIDQ1165890

Peter Zograf

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01885509

zbMATH Keywords

Selberg trace formulaspectral decompositionHilbert modular groupEisenstein-Maass series

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Automorphic forms on (mbox{GL}(2)); Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces (11F41)

Related Items (4)

Hilbert-Asai Eisenstein series, regularized products, and heat kernels ⋮ Selberg type zeta function for the Hilbert modular group of a real quadratic field ⋮ On the Kuznetsov-Bruggeman formula for a Hilbert modular surface having one cusp ⋮ Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces

Cites Work

• On the functional equations satisfied by Eisenstein series
• On discontinuous groups operating on the product of the upper half planes
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