Sum formula for 𝑆𝐿₂ over a totally real number field

DOI10.1090/memo/0919zbMath1230.11066OpenAlexW4244169735MaRDI QIDQ3616024

Roberto J. Miatello, Roelof Wichert Bruggeman

Publication date: 24 March 2009

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

Full work available at URL: https://doi.org/10.1090/memo/0919

zbMATH Keywords

Kloosterman sumBessel transformKuznetsov trace formulaPetersson's formula

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Fourier coefficients of automorphic forms (11F30) 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)

Density theorems for exceptional eigenvalues for congruence subgroups ⋮ Sums of squares in real quadratic fields and Hilbert modular groups ⋮ Applications of the Kuznetsov formula on \(\mathrm{GL}(3)\) ⋮ Density results for automorphic forms on Hilbert modular groups II ⋮ Kuznetsov’s trace formula and the Hecke eigenvalues of Maass forms

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