Document Type
Article
Publication Date
7-10-2017
Publication Title
Research in Number Theory
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 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.
Volume
3
Issue
16
DOI
https://doi.org/10.1007/s40993-017-0079-5
ISSN
2363-9555
Rights
© The Author(s) 2017
Recommended Citation
John W. Jones and David P. Roberts. Artin L-functions of small conductor. Research in Number Theory 3 (2017), Article 16, 33 pages.
Primo Type
Article
Comments
This is a pre-print of an article published in Research in Number Theory. The final authenticated version is available online at: https://doi.org/10.1007/s40993-017-0079-5