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Kloosterman-Selberg Zeta Functions on Complex Hyperbolic Spaces

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Publication:3978105
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DOI10.2307/2374843zbMath0747.11024OpenAlexW2330826507MaRDI QIDQ3978105

Jian-Shu Li

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.2307/2374843


zbMATH Keywords

eigenvalueKloosterman sumsLaplacianPoincare seriesspherical complementary seriesKazhdan property \(T\)


Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)


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Estimates of Kloosterman sums for groups of real rank one ⋮ Variants of Kazhdan's property for subgroups of semisimple groups ⋮ Poincaré series for \(SO(n,1)\) ⋮ On uniqueness of invariant means ⋮ A numerical study on exceptional eigenvalues of certain congruence subgroups of \(\mathrm {SO}(n,1)\) and \(\mathrm {SU}(n,1)\) ⋮ An asymptotic formula for representations of integers by indefinite hermitian forms ⋮ On the asymptotic formula of Kuznetsov and existence of generic cusp forms



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