A. Shankar

activity

20102026

most citedThe average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1

45 citations · 246 across the 34 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.NT2020★ 4 cited

The mean number of 2-torsion elements in the class groups of $n$ -monogenized cubic fields

Manjul Bhargava, Jonathan Hanke, Arul Shankar

We prove that, on average, the monogenicity or $n$ -monogenicity of a cubic field has an altering effect on the behavior of the 2-torsion in its class group.

math.NT2020

Heuristics for the asymptotics of the number of $S_{n}$ -number fields

Arul Shankar, Jacob Tsimerman

We give a heuristic argument supporting conjectures of Bhargava on the asymptotics of the number of $S_{n}$ -number fields having bounded discriminant. We then make our arguments rigo…

The mean number of 2-torsion elements in the class groups of n-monogenized cubic fields

Heuristics for the asymptotics of the number of Sn​-number fields

The mean number of 2-torsion elements in the class groups of $n$ -monogenized cubic fields

Heuristics for the asymptotics of the number of $S_{n}$ -number fields