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.
|Original language||English (US)|
|Journal||Research in Number Theory|
|State||Published - Dec 1 2017|
- Artin representation
- Number field
ASJC Scopus subject areas
- Algebra and Number Theory