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Density on elliptic curves


Density on elliptic curves

Muise, Sylvain (2007) Density on elliptic curves. Masters thesis, Concordia University.

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An elliptic curve is an object that has both the analytic structure of a Riemann Surface, and the algebraic structure of a group. Under this group structure, we can consider the cyclic subgroup generated by an algebraic point on the curve, and ask whether this subgroup is dense in the complex points on the curve, under the usual topology on the analytic structure. We give conditions on the point in question for its multiples to be dense in the complex points on the curve. We discuss transcendence results for the Weierstrass [Weierstrass p] function, analogous to results of the same nature for the regular exponential function

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Muise, Sylvain
Pagination:v, 29 leaves : ill. ; 29 cm.
Institution:Concordia University
Degree Name:M. Sc.
Identification Number:LE 3 C66M38M 2007 M85
ID Code:975510
Deposited By: Concordia University Library
Deposited On:22 Jan 2013 16:09
Last Modified:13 Jul 2020 20:08
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