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arxiv: 1812.03134 · v1 · pith:LOIMDYRYnew · submitted 2018-12-07 · 🧮 math.NT

Bounds for the number of cohomological automorphic representations of GL₃/mathbb{Q} in the weight aspect

classification 🧮 math.NT
keywords automorphiccohomologicalmathbbnumberrepresentationsweightadaptingaspect
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We prove a power saving over the trivial bound for the number of cohomological cuspidal automorphic representations of fixed level and growing weight on $GL_3/\mathbb{Q}$, by adapting the methods of our earlier paper on $GL_2$.

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