Concepedia

Arul Shankar

AS

16

Publications

509

Citations

13

H-Index

2012

Active since

Affiliations

University of Toronto(Current)

Princeton University

Harvard University

Kobe University

University of South Carolina

Arul Shankar is an author at University of Toronto specializing in discrete mathematics, statistics, and physics.

Top concepts

Discrete MathematicsPhysicsGeometryStatisticsEngineeringReliabilityComputer ScienceIntegral GeometryRepresentation TheoryReliability Engineering

Publications per year

2012–2022

16

Publications

16

On the Davenport–Heilbronn theorems and second order terms

Manjul Bhargava, Arul Shankar, Jacob Tsimerman · Inventiones mathematicae · 2012 · 105 citations

Analytic Combinatorics, Second Order Terms

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

Manjul Bhargava, Arul Shankar · arXiv (Cornell University) · 2013 · 48 citations · Full text

Geometry Of Number, Computational Number Theory, Elliptic Curves +5

Squarefree values of polynomial discriminants I

Manjul Bhargava, Arul Shankar, Xiaoheng Wang · arXiv (Cornell University) · 2016 · 45 citations · Full text

Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves

Manjul Bhargava, Arul Shankar, Takashi Taniguchi et al. · Journal of the American Mathematical Society · 2020 · 44 citations

Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves

Manjul Bhargava, Arul Shankar · Annals of Mathematics · 2014 · 40 citations · Full text

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