Bounds for multiplicities of automorphic forms of cohomological type on GL_2

Details Bounds for multiplicities of automorphic forms of cohomological type on GL_2 Bounds for multiplicities of automorphic forms of cohomological type on GL_2

2010-02-18

arxiv.org/abs/1002.3569v5

Mathematics

Number Theory

23 pages, submitted

Scientific paper

We prove various results on the cohomology of arithmetic lattices arising from quaternion algebras over a number field with at least one complex place, including a strong restriction on the allowable weights of cuspidal cohomological automorphic forms and a conditional power saving for their multiplicities when the associated locally symmetric space is a hyperbolic 3-manifold.

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