3 papers
math.NT2026
On the distribution of shapes of octic Kummer extensions
Anuj Jakhar, Anwesh Ray
The shape of a number field of degree is defined as the equivalence class of the lattice of integers under linear operations generated by rotations, reflections, and positi…
math.NT2026
On the distribution of shapes of sextic pure number fields
Anuj Jakhar, Ravi Kalwaniya, Anwesh Ray +1
The shape of a number field of degree is defined as the equivalence class of the lattice of integers with respect to linear operations that are composites of rotations, ref…
math.NT2026
On the average -torsion in class groups and narrow class groups of cubic orders with prescribed shape
Anwesh Ray
We study the distribution of -torsion in class groups and narrow class groups of cubic fields and cubic orders subject to prescribed shape conditions. The \emph{shape} of a cubi…