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

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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, Tome 101 (1990) no. 2, pp. 641-686.

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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/}
}

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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/