23 citations · 23 across the 2 of their papers we have counts for
2 papers
math.NT2026
Geometry-of-numbers methods over global fields II: Coregular representations
Manjul Bhargava, Arul Shankar, Xiaoheng Wang
We develop geometry-of-numbers methods to count orbits in coregular vector spaces having bounded invariants over any global field. We apply these techniques to bound the average ra…
math.NT2026★ 23 cited
Geometry-of-numbers methods over global fields I: Prehomogeneous vector spaces
Manjul Bhargava, Arul Shankar, Xiaoheng Wang
We develop geometry-of-numbers methods to count orbits in prehomogeneous vector spaces having bounded invariants over any global field. As our primary example, we apply these techn…