Bounds for the Number of Cohomological Automorphic Representations of GL3/ℚ in the Weight Aspect

Author:

Marshall Simon1

Affiliation:

1. Department of Mathematics, University of Wisconsin–Madison, 480 Lincoln Drive, Madison, WI 53706, USA

Abstract

Abstract 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 $GL_2$.

Funder

National Science Foundation

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference20 articles.

1. Everywhere unramified automorphic cohomology for ${SL}_3\left (\mathrm{\mathbb{Z}}\right )$;Ash;Int. J. Number Theory,2008

2. Cohomology of arithmetic groups and congruences between systems of Hecke eigenvalues;Ash;J. Reine Angew. Math.,1986

3. Stable Real Cohomology of Arithmetic Groups II;Borel,1981

4. Laplacian and discrete spectrum of an arithmetic group;Borel;Amer. J. Math.,1983

5. Mathematical Surveys and Monographs 67;Borel,2000

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