Density theorems and applications

Blomer, Valentin (2023) Density theorems and applications. In: Conference for Young Number Theorists in Bonn, September 11-15, 2023, Bonn. (Unpublished)

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Abstract

The generalized Ramanujan conjecture predicts that all cuspidal automorphic representations for GL(n) are tempered. A density theorem is a certain quantitative approximation towards the Ramanujan conjecture that in many cases serves as a good substitute. In this talk I will survey results, methods, and applications.

Item Type: Conference or Workshop Item (Keynote)
Subjects: 1 Discrete mathematics / algebra > 11-XX Number theory
Divisions: Research > Talks
Depositing User: This Admin
Date Deposited: 14 Sep 2023 14:18
Last Modified: 14 Sep 2023 14:18
URI: https://archive.mpim-bonn.mpg.de/id/eprint/4958

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