Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces

DOI10.1007/BF01231519zbMath0737.11013MaRDI QIDQ1177114

Fritz J. Grunewald, Jürgen Elstrodt, Jens Mennicke

Publication date: 26 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143820

zbMATH Keywords

hyperbolic spacefirst eigenvalueLaplacianClifford algebracongruence subgroupsfactorization theoremgeneralized Kloosterman sumsLinnik-Selberg seriesVahlen groups

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Other groups and their modular and automorphic forms (several variables) (11F55) Gauss and Kloosterman sums; generalizations (11L05) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

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Cites Work

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