The role of the Ramanujan conjecture in analytic number theory

Blomer, Valentin; Brumley, Farrell

doi:10.1090/S0273-0979-2013-01404-6

The role of the Ramanujan conjecture in analytic number theory
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Bull. Amer. Math. Soc. 50 (2013), 267-320 Request permission

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.

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