Construction of Identities for Sums of Squares

TL;DR

This paper presents a method to construct larger sum-of-squares formulas from smaller ones, enabling the systematic creation of identities for sums of squares.

Contribution

It introduces a new construction technique that combines existing sum-of-squares formulas to generate larger identities.

Findings

New formula construction method for sums of squares

Systematic way to build larger identities from smaller ones

Potential applications in number theory and algebra

Abstract

From sum-of-squares formulas of sizes $[r, s, n]$ and $[r', s', n']$ we construct a formula of size $[r + r', 2ss', 2nn']$.