Artin L-functions of small conductor

John Jones, David P. Roberts

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish (US)
Article number16
JournalResearch in Number Theory
Volume3
Issue number1
DOIs
StatePublished - Dec 1 2017

Fingerprint

Galois
L-function
Conductor
Number field
Tables
Lower bound

Keywords

  • Artin representation
  • Conductor
  • L-function
  • Number field

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Artin L-functions of small conductor. / Jones, John; Roberts, David P.

In: Research in Number Theory, Vol. 3, No. 1, 16, 01.12.2017.

Research output: Contribution to journalArticle

Jones, John ; Roberts, David P. / Artin L-functions of small conductor. In: Research in Number Theory. 2017 ; Vol. 3, No. 1.
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