Congruent Numbers Via the Pell Equation and its Analogous Counterpart

Details Congruent Numbers Via the Pell Equation and its Analogous Counterpart Congruent Numbers Via the Pell Equation and its Analogous Counterpart

2010-04-02

arxiv.org/abs/1004.0261v4

Mathematics

History and Overview

8 pages

Scientific paper

The aim of this expository article is twofold. The first is to introduce several polynomials of one variable as well as two variables defined on the positive integers with values as congruent numbers. The second is to present connections between Pythagorean triples and the Pell equation $x^2-dy^2=1$ plus its analogous counterpart $x^2-dy^2=-1$ which give rise to congruent numbers n with arbitrarily many prime factors.

Affiliated with

Also associated with

No associations

Rating

Congruent Numbers Via the Pell Equation and its Analogous Counterpart does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Congruent Numbers Via the Pell Equation and its Analogous Counterpart, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Congruent Numbers Via the Pell Equation and its Analogous Counterpart will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-407291