A characterization of arithmetic functions satisfying $f(u^{2}+kv^{2})=f^{2}(u)+kf^{2}(v)$
Number Theory
2016-06-17 v1
Abstract
In this paper, we mainly discuss the characterization of a class of arithmetic functions such that . We obtain a characterization with given condition, propose a conjecture and show the result holds for .
Cite
@article{arxiv.1606.05039,
title = {A characterization of arithmetic functions satisfying $f(u^{2}+kv^{2})=f^{2}(u)+kf^{2}(v)$},
author = {Lihua You and Yafei Chen and Pingzhi Yuan},
journal= {arXiv preprint arXiv:1606.05039},
year = {2016}
}