Unconditional bounds for the multiplicity of automorphic forms of cohomological type on GL_2

Details Unconditional bounds for the multiplicity of automorphic forms of cohomological type on GL_2 Unconditional bounds for the multiplicity of automorphic forms of cohomological type on GL_2

2011-03-12

arxiv.org/abs/1103.2472v1

Mathematics

Number Theory

19 pages

Scientific paper

We prove an unconditional power saving for the dimension of the space of cohomological automorphic forms of fixed level and growing weight on GL_2 over any number field which is not totally real. Our proof involves the theory of p-adically completed cohomology developed by Calegari and Emerton, and a bound for the growth of coinvariants in certain finitely generated non-commutative Iwasawa modules.

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