On the Kuznetsov-Bruggeman formula for a Hilbert modular surface having one cusp

DOI10.1007/BF02570723zbMath0701.11020MaRDI QIDQ913844

W. David Joyner

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174114

zbMATH Keywords

real quadratic fieldHilbert modular formsKloosterman sumautomorphic spectrumsum formula of Kuznetsov

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) 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 (5)

An integral transform and its applications ⋮ On the Kuznetsov formula ⋮ The Relative Trace Formula in Analytic Number Theory ⋮ Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms ⋮ On Kuznetsov-Bykovskii's formula of counting prime geodesics

Cites Work

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• Automorphic forms on GL(3,\({\mathbb{R}})\)
• Fourier coefficients of automorphic forms
• Selberg trace formula for the Hilbert modular group of a real quadratic algebraic number field
• Kloosterman sums and Fourier coefficients of cusp forms
• On discontinuous groups operating on the product of the upper half planes
• PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
• Automorphic forms and algebraic extensions of number fields
• Sur la formule des traces de Selberg

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