51 citations · 57 across the 5 of their papers we have counts for
6 papers
Artin L-functions of small conductor
John W. Jones, David P. Roberts
We study the problem of finding the Artin L-functions with the smallest conductor for a given Galois type. We adapt standard analytic techniques to our novel situation of fixed Gal…
Mixed degree number field computations
John W. Jones, David P. Roberts
We present a method for computing complete lists of number fields in cases where the Galois group, as an abstract group, appears as a Galois group in smaller degree. We apply this…
A database of number fields
John W. Jones, David P. Roberts
We describe an online database of number fields which accompanies this paper The database centers on complete lists of number fields with prescribed invariants. Our description her…
The tame-wild principle for discriminant relations for number fields
John W. Jones, David P. Roberts
Consider tuples of separable algebras over a common local or global number field, related to each other by specified resolvent constructions. Under the assumption that all ramifica…
Number fields unramified away from 2
John W. Jones
We consider finite extensions of the rationals which are unramified except for at 2 and infinity. We show there are no such extensions of degrees 9 through 15.
A Database of Local Fields
John W. Jones, David P. Roberts
We describe our online database of finite extensions of the p-adic numbers, and how it can be used to facilitate local analysis of number fields.