Research in Number Theory
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 obtain 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.
© The Author(s) 2017
John W. Jones and David P. Roberts. Artin L-functions of small conductor. Research in Number Theory 3 (2017), Article 16, 33 pages.