Multiplicative functions preserving the sum-of-three-squares operation

Abstract

If a multiplicative function $f$ satisfies $f(a^2+b^2+c^2)=f(a{)}^2+f(b{)}^2+f(c{)}^2$ for all positive integers $a$, $b$, and $c$, then $f$ is an identity function.

arXiv commentThis paper was merged to arXiv:1608.08270

Cited by in corpus (1)

• Arithmetic functions commutable with sums of squares