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List of works by Manjul Bhargava

A positive proportion of Thue equations fail the integral Hasse principle

scholarly article

A positive proportion of locally soluble hyperelliptic curves over Q have no point over any odd degree extension

scientific article published in 2017

A proof of van der Waerden’s Conjecture on random Galois groups of polynomials

scientific article published in 2023

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

Error estimates for the Davenport-Heilbronn theorems

scientific article published in 2010

Higher composition laws I: A new view on Gauss composition, and quadratic generalizations

article

Higher composition laws II: On cubic analogues of Gauss composition

article

Higher composition laws III: The parametrization of quartic rings

article

Higher composition laws IV: The parametrization of quintic rings

article

Mass Formulae for Extensions of Local Fields, and Conjectures on the Density of Number Field Discriminants

scientific article published in 2007

On a notion of “Galois closure” for extensions of rings

scientific article (publication date: 2014)

On the Davenport–Heilbronn theorems and second order terms

scientific article published on 11 December 2012

On the number of integral binary n$n$‐ic forms having bounded Julia invariant

scientific article published in 2022

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

scientific article (publication date: March 2015)

The Factorial Function and Generalizations

The density of discriminants of quartic rings and fields

scientific article (publication date: September 2005)

The density of discriminants of quintic rings and fields

scientific article (publication date: 5 October 2010)

The local-global principle for integral points on stacky curves

scientific article published in 2022