On the Generation of Pythagorean Triples and Representation of Integers as a Difference of Two Squares

2017/11/07 by Asmaryan, Emil
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1711.02379

Abstract

The general formulas for finding the quantity of all primitive and nonprimitive triples generated by the given number x have been proposed. Also the formulas for finding the complete quantity of the representations of the integers as a difference of two squares have been obtained.

Related

• A Direct Method To Generate Pythagorean Triples And Its Generalization To Pythagorean Quadruples And n-tuples
• Pythagorean triples
• Constructive representation of primitive Pythagorean triples
• Computing Pythagorean Triples
• Construction of primitive Pythagorean triples and Pythagorean triples with a common multiplier using gnomons