A solution to a problem of Fermat, on two numbers of which the sum is a square and the sum of their squares is a biquadrate, inspired by the Illustrious La Grange
Euler wants to find rational numbers (integers) x and y such that x+y is a
square and x^2+y^2 is a fourth power. He parametrizes these with two other
variables that satisfy certain equations.
%0 Generic
%1 citeulike:3036271
%A Euler, Leonhard
%D 2006
%K Vor1850 available-in-tex-format mathematics number-theory pre1850
%T A solution to a problem of Fermat, on two numbers of which the sum is a square and the sum of their squares is a biquadrate, inspired by the Illustrious La Grange
%U http://arxiv.org/abs/math/0604496
%X Euler wants to find rational numbers (integers) x and y such that x+y is a
square and x^2+y^2 is a fourth power. He parametrizes these with two other
variables that satisfy certain equations.
@misc{citeulike:3036271,
abstract = {Euler wants to find rational numbers (integers) x and y such that x+y is a
square and x^2+y^2 is a fourth power. He parametrizes these with two other
variables that satisfy certain equations.},
added-at = {2009-08-02T17:14:35.000+0200},
archiveprefix = {arXiv},
author = {Euler, Leonhard},
biburl = {https://www.bibsonomy.org/bibtex/22e47acc37f86d49b17a0c35c48f082e6/rwst},
citeulike-article-id = {3036271},
citeulike-linkout-0 = {http://arxiv.org/abs/math/0604496},
citeulike-linkout-1 = {http://arxiv.org/pdf/math/0604496},
description = {my bookmarks from citeulike},
eprint = {math/0604496},
interhash = {39c4e3e530be54684272898bbeed33b4},
intrahash = {2e47acc37f86d49b17a0c35c48f082e6},
keywords = {Vor1850 available-in-tex-format mathematics number-theory pre1850},
month = Apr,
posted-at = {2008-07-23 08:44:26},
priority = {2},
timestamp = {2009-08-06T10:19:56.000+0200},
title = {A solution to a problem of Fermat, on two numbers of which the sum is a square and the sum of their squares is a biquadrate, inspired by the Illustrious La Grange},
url = {http://arxiv.org/abs/math/0604496},
year = 2006
}