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| 摘要: |
| 本文研究了广义Euler函数的计算公式.利用初等的方法和技巧，给出了两类特殊广义Euler函数的准确计算公式，即φpq（n）以及φe（n）（e=p，p2），其中n的任意素因数m ≡ 1或者-1（mod e）且gcd（m，e）=1，p，q是不同的素数.这些结果是文献[5]相应结果的直接推广. |
| 关键词: Euler函数 广义Euler函数 Möbius函数 |
| DOI： |
| 分类号:O156.1 |
| 基金项目:Supported by Office of Science and Technology of Sichuan Province Applied Basic Research Project (2016JY0134). |
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| THE COMPUTING FORMULA FOR TWO CLASSES OF GENERALIZED EULER FUNCTIONS |
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LIAO Qun-ying,LUO Wen-li
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| Abstract: |
| In this paper, we study the computing formula of the generalized Euler function. By using elementary methods and techniques, we obtain the computing formula of the generalized Euler function φpq(n) for some cases and the computing formula of φe(n)(e=p, p2) for any prime factor m|n with m ≡ 1 or -1(mod e) and gcd(m, e)=1, where p and q are distinct primes, which are the generalizations for the corresponding main results given in[5]. |
| Key words: Euler function generalized Euler function Möbius function |
