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, Tome 101 (1990) no. 2, pp. 641-686
Voir la notice de l'article provenant de la source European Digital Mathematics Library
Mots-clés :
Laplacian, first eigenvalue, generalized Kloosterman sums, congruence subgroups, hyperbolic space, Vahlen groups, Clifford algebra, factorization theorem, Linnik-Selberg series
@article{IM_1990__101_2_143820,
author = {J. Mennicke and J. Elstrodt and F. Grunewald},
title = {Kloosterman sums for {Clifford} algebras and a lower bound for the positive eigenvalues of the {Laplacian} for congruence subgroups acting on hyperbolic spaces.},
journal = {Inventiones mathematicae},
pages = {641--686},
publisher = {mathdoc},
volume = {101},
number = {2},
year = {1990},
zbl = {0737.11013},
url = {http://geodesic.mathdoc.fr/item/IM_1990__101_2_143820/}
}
TY - JOUR AU - J. Mennicke AU - J. Elstrodt AU - F. Grunewald 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 SP - 641 EP - 686 VL - 101 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM_1990__101_2_143820/ ID - IM_1990__101_2_143820 ER -
%0 Journal Article %A J. Mennicke %A J. Elstrodt %A F. Grunewald %T Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces. %J Inventiones mathematicae %D 1990 %P 641-686 %V 101 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM_1990__101_2_143820/ %F IM_1990__101_2_143820
J. Mennicke; J. Elstrodt; F. Grunewald. 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, Tome 101 (1990) no. 2, pp. 641-686. http://geodesic.mathdoc.fr/item/IM_1990__101_2_143820/