Projects per year
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 

Journal  JOURNAL OF THE LONDON MATHEMATICAL SOCIETYSECOND SERIES 
Publication status  Accepted/In press  21 Feb 2023 
Fingerprint
Dive into the research topics of 'Distribution of genus numbers of abelian number fields'. Together they form a unique fingerprint.
Diophantine equations and localglobal principles: into the wild
1/08/2021 → 30/06/2025
Project: Research

Localglobal principles: arithmetic statistics and obstructions
EPSRC Engineering and Physical Sciences Research Council
1/08/2021 → 30/09/2022
Project: Research