A. Shankar

most citedFamilies of elliptic curves ordered by conductor

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

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…

math.NT2019★ 1 cited

Families of elliptic curves ordered by conductor

Ananth N. Shankar, Arul Shankar, Xiaoheng Wang

In this article, we study the family of elliptic curves $E / Q$ , having good reduction at $2$ and $3$ , and whose $j$ -invariants are small. Within this set of elliptic curves…

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

Families of elliptic curves ordered by conductor

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