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

Mennicke, 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 -