中文

保持三平方和运算的乘性函数

数论 2021-03-02 v2

摘要

若乘性函数 ff 对所有正整数 aabbcc 满足 f(a2+b2+c2)=f(a)2+f(b)2+f(c)2f(a^2+b^2+c^2) = f(a)^2+f(b)^2+f(c)^2,则 ff 为恒等函数。

关键词

引用

@article{arxiv.1512.01474,
  title  = {Multiplicative functions preserving the sum-of-three-squares operation},
  author = {Poo-Sung Park},
  journal= {arXiv preprint arXiv:1512.01474},
  year   = {2021}
}

备注

This paper was merged to arXiv:1608.08270