Artin L-functions of small conductor

John Jones; David P. Roberts

doi:10.1007/s40993-017-0079-5

Artin L-functions of small conductor

John Jones, David P. Roberts

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English (US)
Article number	16
Journal	Research in Number Theory
Volume	3
Issue number	1
DOIs	https://doi.org/10.1007/s40993-017-0079-5
State	Published - Dec 1 2017

Keywords

Artin representation
Conductor
L-function
Number field

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s40993-017-0079-5

Cite this

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KW - Artin representation

KW - Conductor

KW - L-function

KW - Number field

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Artin L-functions of small conductor

Abstract

Keywords

ASJC Scopus subject areas

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