Publication Date | Article Title | Author(s) |
Jan-2015 | Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves | Bhargava, Manjul; Shankar, Arul |
2016 | Coregular spaces and genus one curves | Bhargava, Manjul; Ho, Wei |
2010 | The density of discriminants of quintic rings and fields | Bhargava, Manjul |
Jun-2016 | The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields | Bhargava, Manjul; Harron, Piper |
Feb-2016 | The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders | Bhargava, Manjul; Varma, Ila |
2015 | Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves | Bhargava, Manjul; Kane, Daniel M; Lenstra, Hendrik W; Poonen, Bjorn; Rains, Eric |
2014 | On a notion of "Galois closure" for extensions of rings | Bhargava, Manjul; Satriano, Matthew |
Aug-2013 | On the Davenport-Heilbronn theorems and second order terms | Bhargava, Manjul; Shankar, Arul; Tsimerman, Jacob |
15-Jul-2015 | ON THE MEAN NUMBER OF 2-TORSION ELEMENTS IN THE CLASS GROUPS, NARROW CLASS GROUPS, AND IDEAL GROUPS OF CUBIC ORDERS AND FIELDS | Bhargava, Manjul; Varma, Ila |
2014 | On the number of cubic orders of bounded discriminant having automorphism group C-3, and related problems | Bhargava, Manjul; Shnidman, Ariel |
7-Jul-2016 | ORBIT PARAMETRIZATIONS FOR K3 SURFACES | Bhargava, Manjul; Ho, Wei; Kumar, Abhinav |
Jun-2014 | A positive proportion of elliptic curves over Q have rank one | Bhargava, Manjul; Skinner, Christopher M. |
Apr-2017 | A positive proportion of locally soluble hyperelliptic curves over Q have no point over any odd degree extension | Bhargava, Manjul; Gross, Benedict H; Wang, Xiaoheng |
Jun-2016 | The proportion of plane cubic curves over Q that everywhere locally have a point | Bhargava, Manjul; Cremona, John E.; Fisher, Tom A. |
2016 | What is the probability that a random integral quadratic form in n variables has an integral zero? | Bhargava, Manjul; Cremona, John E.; Fisher, Tom A.; Jones, NG; Keating, JP |
2016 | What is the Probability that a Random Integral Quadratic Form in n Variables has an Integral Zero? | Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P. |