Projects per year
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 (Formula presented.) of the time.
|Number of pages||21|
|Journal||Journal of the London Mathematical Society|
|Early online date||20 Apr 2023|
|Publication status||E-pub ahead of print - 20 Apr 2023|
FingerprintDive into the research topics of 'Distribution of genus numbers of abelian number fields'. Together they form a unique fingerprint.
- 1 Active
Fellowship FLF Geometric Analytic Number Theory
1/10/21 → 30/09/25
Project: Research council