Files in this item

FilesDescriptionFormat

application/pdf

application/pdf3290437.pdf (2MB)Restricted to U of Illinois
(no description provided)PDF

Description

Title:Distribution of Selmer Groups of Quadratic Twists of a Family of Elliptic Curves
Author(s):Xiong, Maosheng
Doctoral Committee Chair(s):Zaharescu, Alexandru
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:As an most interesting example for the elliptic curve E n : y2 = x 3 - n2x, which is closely related with the congruent number problem, we study the distribution of the size of the six Selmer groups arising from the three 2-isogenies and their dual 2-isogenies. We also describe explicit formulas on the size of the six Selmer groups.
Issue Date:2007
Type:Text
Language:English
Description:62 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.
URI:http://hdl.handle.net/2142/86893
Other Identifier(s):(MiAaPQ)AAI3290437
Date Available in IDEALS:2015-09-28
Date Deposited:2007


This item appears in the following Collection(s)

Item Statistics