IJPAM: Volume 35, No. 3 (2007)
ON PYTHAGOREAN QUADRUPLES
Edray Goins
, Alain Togbé
Department of Mathematics
Purdue University
150 North University Street, West Lafayette, IN 47907, USA
e-mail: egoins@purdue.edu
Department of Mathematics
Purdue University North Central
1401S, U.S. 421, Westville, IN 46391, USA
e-mail: atogbe@purdue.edu
, Alain Togbé
Department of Mathematics
Purdue University
150 North University Street, West Lafayette, IN 47907, USA
e-mail: egoins@purdue.edu
Department of Mathematics
Purdue University North Central
1401S, U.S. 421, Westville, IN 46391, USA
e-mail: atogbe@purdue.edu
Abstract.We consider the multplicative
properties of integer quadruples 
satisfying
as a generalization of Pythagorean triples. In the
proces, we present a group structure on the rational points on the
unit sphere minus the poles and discuss a factorization result.
Received: January 8, 2007
AMS Subject Classification: 11E25, 11E20
Key Words and Phrases: Pythagorean triples, ternary quadratic forms, sums of squares
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 35
Issue: 3
