Artin L-functions of small conductor

John W. Jones, David P. Roberts

    Research output: Contribution to journalArticle

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

    Keywords

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

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