Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces

Details Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces

2006-06-28

arxiv.org/abs/math/0606700v1

Mathematics

Number Theory

11 pages, 1 figure

Scientific paper

We discover suprising connections between three seemingly different problems: finding right triangles with rational sides in a non-Euclidean geometry, finding three integers such that the difference of the squares of any two is a square, and the problem of finding rational points on an algebraic surface in algebraic geometry. We will also reinterpret Euler's work on the second problem with a modern point of view.

Affiliated with

Also associated with

No associations

Rating

Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces 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 Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Euclidean Pythagorean triples, a problem of Euler, and rational points on K3 surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-535309