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

J. Mennicke; J. Elstrodt; F. Grunewald

Inventiones mathematicae (1990)

- Volume: 101, Issue: 3, page 641-686
- ISSN: 0020-9910; 1432-1297/e

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topMennicke, J., Elstrodt, J., and Grunewald, F.. "Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces.." Inventiones mathematicae 101.3 (1990): 641-686. <http://eudml.org/doc/143820>.

@article{Mennicke1990,

author = {Mennicke, J., Elstrodt, J., Grunewald, F.},

journal = {Inventiones mathematicae},

keywords = {Laplacian; first eigenvalue; generalized Kloosterman sums; congruence subgroups; hyperbolic space; Vahlen groups; Clifford algebra; factorization theorem; Linnik-Selberg series},

number = {3},

pages = {641-686},

title = {Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces.},

url = {http://eudml.org/doc/143820},

volume = {101},

year = {1990},

}

TY - JOUR

AU - Mennicke, J.

AU - Elstrodt, J.

AU - Grunewald, F.

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

JO - Inventiones mathematicae

PY - 1990

VL - 101

IS - 3

SP - 641

EP - 686

KW - Laplacian; first eigenvalue; generalized Kloosterman sums; congruence subgroups; hyperbolic space; Vahlen groups; Clifford algebra; factorization theorem; Linnik-Selberg series

UR - http://eudml.org/doc/143820

ER -

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