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

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

Rights

© The Author(s) 2017

Included in

Mathematics Commons

Share

COinS