63 citations · 63 across the 2 of their papers we have counts for
3 papers
math.NT2012★ 63 cited
The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point
Manjul Bhargava, Benedict H. Gross
We prove that when all hyperelliptic curves of genus having a rational Weierstrass point are ordered by height, the average size of the 2-Selmer group of their Jacobians…
math.NT2012★ 4 cited
Arithmetic invariant theory
Manjul Bhargava, Benedict H. Gross
Let be a field, let be a reductive algebraic group over , and let be a linear representation of . Geometric invariant theory involves the study of the -algebra…
math.NT2010
The density of discriminants of quintic rings and fields
Manjul Bhargava
We determine, asymptotically, the number of quintic fields having bounded discriminant. Specifically, we prove that the asymptotic number of quintic fields having absolute discrimi…