论文标题
对欧拉的算术功能和梅农的身份的另一个概括
Another generalization of Euler's arithmetic function and Menon's identity
论文作者
论文摘要
我们将$ k $维的概括欧拉函数$φ_k（n）$定义为订购的$ k $ -tuples $（a_1，\ ldots，a_k）\ in {\ bbb n}^k $ in {\ bbb n}^k $ in {\ bbb n}^k $，因此$ 1 \ le a_1，\ ldots $ a_1 $ cd $ cd $ cd y n $ a_1 $ a_1 +\ cdots +a_k $是素数至$ n $。我们研究了函数$φ_K（n）$的某些属性，并获得相应的Menon型身份。
We define the $k$-dimensional generalized Euler function $φ_k(n)$ as the number of ordered $k$-tuples $(a_1,\ldots,a_k)\in {\Bbb N}^k$ such that $1\le a_1,\ldots,a_k\le n$ and both the product $a_1\cdots a_k$ and the sum $a_1+\cdots +a_k$ are prime to $n$. We investigate some of properties of the function $φ_k(n)$, and obtain a corresponding Menon-type identity.
