Artin L-functions of small conductor
Number Theory
2016-10-06 v1
Abstract
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 Galois type and get much improved lower bounds on the smallest conductor. For small Galois types we use complete tables of number fields to determine the actual smallest conductor.
Cite
@article{arxiv.1610.01228,
title = {Artin L-functions of small conductor},
author = {John W. Jones and David P. Roberts},
journal= {arXiv preprint arXiv:1610.01228},
year = {2016}
}
Comments
32 pages, 3 figures