Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0

Type: Preprint

Publication Date: 2010-07-01

Citations: 21

Locations

  • arXiv (Cornell University) - View

Similar Works

Action Title Year Authors
+ Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0 2010 Manjul Bhargava
Arul Shankar
+ PDF Chat Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0 2014 Manjul Bhargava
Arul Shankar
+ Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves 2010 Manjul Bhargava
Arul Shankar
+ Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves 2010 Manjul Bhargava
Arul Shankar
+ PDF Chat Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves 2014 Manjul Bhargava
Arul Shankar
+ On the Selmer group and rank of a family of elliptic curves and curves of genus one violating the Hasse principle 2021 Eleni Agathocleous
+ PDF Chat None 2023
+ PDF Chat Sums of rational cubes and the $3$-Selmer group 2024 Peter Koymans
Alexander Smith
+ Families of elliptic curves ordered by conductor 2019 Ananth N. Shankar
Arul Shankar
Xiaoheng Wang
+ Elliptic Curves with positive rank and no integral points 2023 Eleni Agathocleous
+ The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1 2013 Manjul Bhargava
Arul Shankar
+ PDF Chat Enumerating odd-degree hyperelliptic curves and abelian surfaces over $${\mathbb {P}}^1$$ 2023 Changho Han
Jun–Yong Park
+ PDF Chat On Bounds and Diophantine Properties of Elliptic Curves 2024 Navvye Anand
+ Integers expressible as the sum of two rational cubes 2022 Levent Alpöge
Manjul Bhargava
Ari Shnidman
+ Maximal curves, zeta functions, and digital signatures 2007 Beth Malmskog
+ PDF Chat On the arithmetic of a family of twisted constant elliptic curves 2020 Richard Griffon
Douglas Ulmer
+ A positive proportion of elliptic curves over $\mathbb{Q}$ have rank one 2014 Manjul Bhargava
Christopher Skinner
+ Large families of elliptic curves ordered by conductor 2021 Ananth N. Shankar
Arul Shankar
Xiaoheng Wang
+ PDF Chat Rank distribution in cubic twist families of elliptic curves 2024 Anwesh Ray
Pratiksha Shingavekar
+ PDF Chat 3-Isogeny Selmer groups and ranks of Abelian varieties in quadratic twist families over a number field 2019 Manjul Bhargava
Zev Klagsbrun
Robert J. Lemke Oliver
Ari Shnidman