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 language | English |
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Pages (from-to) | 2197-2217 |
Number of pages | 21 |
Journal | Journal of the London Mathematical Society |
Volume | 107 |
Issue number | 6 |
Early online date | 20 Apr 2023 |
DOIs | |
Publication status | Published - Jun 2023 |
ASJC Scopus subject areas
- General Mathematics
Fields of Expertise
- Information, Communication & Computing