A parameterization of the Fermat curves satisfying x^(2N)+y^(2N)=1
General Mathematics
2007-07-29 v2
Abstract
Note that the family of closed curves C_N={(x,y)\in R^2;x^(2N)+y^(2N)=1} for N=1,2,3,... approaches the boundary of [-1,1]^2 as N \to \infty. In this paper we exhibit a natural parameterization of these curves and generalize to a larger class of equations.
Keywords
Cite
@article{arxiv.0707.3143,
title = {A parameterization of the Fermat curves satisfying x^(2N)+y^(2N)=1},
author = {Kerry M. Soileau},
journal= {arXiv preprint arXiv:0707.3143},
year = {2007}
}
Comments
Corrected a typo