Browsing FAS Scholarly Articles by Keyword "arithmetic statistics"
Now showing items 1-1 of 1
-
Disparity in Selmer Ranks of Quadratic Twists of Elliptic Curves
(Princeton University, Department of Mathematics, 2013)We study the parity of 2-Selmer ranks in the family of quadratic twists of an arbitrary elliptic curve E over an arbitrary number field K. We prove that the fraction of twists (of a given elliptic curve over a fixed number ...