English

Nonsolvable number fields ramified only at 3 and 5

Number Theory 2014-01-14 v2

Abstract

For p = 3 and p = 5, we exhibit a finite nonsolvable extension of the rational numbers which is ramified only at p via explicit computations with Hilbert modular forms.

Cite

@article{arxiv.0906.4374,
  title  = {Nonsolvable number fields ramified only at 3 and 5},
  author = {Lassina Dembele and Matthew Greenberg and John Voight},
  journal= {arXiv preprint arXiv:0906.4374},
  year   = {2014}
}

Comments

18 pages; revised to incorporate referee's suggestions

R2 v1 2026-06-21T13:17:09.548Z