The role of the Ramanujan conjecture in analytic number theory
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Abstract:
We discuss progress towards the Ramanujan conjecture for the group $\mathrm {GL}_n$ and its relation to various other topics in analytic number theory.References
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Additional Information
- Valentin Blomer
- Affiliation: Mathematisches Institut, Bunsenstr. 3-5, 37073 Göttingen
- MR Author ID: 707764
- Email: blomer@uni-math.gwdg.de
- Farrell Brumley
- Affiliation: Institut Galilée, Université Paris 13, 99 avenue J.-B. Clément, 93430 Villetaneuse, France
- Email: brumley@math.univ-paris13.fr
- Received by editor(s): June 8, 2012
- Published electronically: January 14, 2013
- Additional Notes: The first author was supported by the Volkswagen Foundation and a Starting Grant of the European Research Council. The second author is partially supported by the ANR grant ArShiFo ANR-BLANC-114-2010 and by the Advanced Research Grant 228304 from the European Research Council.
- © Copyright 2013
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Bull. Amer. Math. Soc. 50 (2013), 267-320
- MSC (2010): Primary 11F70
- DOI: https://doi.org/10.1090/S0273-0979-2013-01404-6
- MathSciNet review: 3020828
Dedicated: Dedicated to the 125th birthday of Srinivasa Ramanujan