Paper Info
Title
Congruent Numbers and Elliptic Curves.
Abstract
These are essentially the lecture notes from a section on congruent numbers and elliptic curves taught in my introduc- tory number theory class at the Ohio State University spring term of 2007. The students in this class were assumed to only have a basic background in proof theory (such as sets and induction) and the material we had covered up to this point in the term (primes, congruences, and quadratic reciprocity). These notes are self-contained modulo basic facts from those subjects and do not assume a background of abstract algebra. Any abstract algebra that is needed is introduced. Calculations used in these noted were performed with SAGE ((6)) as the students in this class used this program throughout the term. Homework exercises are contained in the notes as well. These notes owe a great deal to the wonderful treatment of the subject by Koblitz ((3)).
Year
DOI
Venue
2006
10.2307/27641916
AMERICAN MATHEMATICAL MONTHLY
Field
DocType
Volume
Combinatorics,Natural number,Rational number,Prime number,Square-free integer,Algebra,Right triangle,Arithmetic,Prime factor,Congruent number,Mathematics,Fibonacci number
Journal
113
Issue
ISSN
Citations 
4
0002-9890
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Jasbir S. Chahal101.01