Distribution of genus numbers of abelian number fields

Christopher Frei*, Daniel Loughran, Rachel Newton

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We study the quantitative behaviour of genus numbers of abelian extensions of number fields with given Galois group. We prove an asymptotic formula for the average value of the genus number and show that any given genus number appears only 0% of the time.
Original languageEnglish
JournalJournal of the London Mathematical Society
Publication statusAccepted/In press - 22 Feb 2023

Fields of Expertise

  • Information, Communication & Computing

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