English

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

Number Theory 2021-03-23 v1

Abstract

We give an unconditional proof that self-dual Artin representations of Q\mathbb{Q} of dimension 33 have density 00 among all Artin representations of Q\mathbb{Q} of dimension 33. Previously this was known under the assumption of Malle's Conjecture.

Keywords

Cite

@article{arxiv.2103.11207,
  title  = {Self-dual Artin representations of dimension three (with an appendix by David E. Rohrlich)},
  author = {Aditya Karnataki and David E. Rohrlich},
  journal= {arXiv preprint arXiv:2103.11207},
  year   = {2021}
}

Comments

Appendix by David E. Rohrlich