Number fields with discriminant +-2^a 3^b Examples from three point covers, by David P. Roberts

In this paper we construct number fields ramified at 2 and 3 only, with various moderate-sized non-solvable Galois groups. We construct these fields by specializing three point covers, some from the literature and some new here. The specialization points come from solutions to a generalized Fermat equation. We conclude with a specific suggestion for further research and two general conjectures.

David P. Roberts <davrobts@math.rutgers.edu>