63 citations · 557 across the 46 of their papers we have counts for
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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.NT2012★ 21 cited
On the number of cubic orders of bounded discriminant having automorphism group , and related problems
Manjul Bhargava, Ariel Shnidman
For a binary quadratic form , we consider the action of on a two-dimensional vector space. This representation yields perhaps the simplest nontrivial example of…