Self-dual Artin representations of dimension three (with an appendix by David E. Rohrlich)

Aditya Karnataki; David E. Rohrlich

doi:10.1016/j.jnt.2016.09.006

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arXiv · 2103.11207

Self-dual Artin representations of dimension three (with an appendix by David E. Rohrlich)

Aditya Karnataki·David E. Rohrlich

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Abstract

We give an unconditional proof that self-dual Artin representations of $\mathbb{Q}$ of dimension $3$ have density $0$ among all Artin representations of $\mathbb{Q}$ of dimension $3$. Previously this was known under the assumption of Malle's Conjecture.

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Aditya Karnataki, David E. Rohrlich. 2021-03-20. Self-dual Artin representations of dimension three (with an appendix by David E. Rohrlich). https://doi.org/10.1016/j.jnt.2016.09.006

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