摘要
研究了Ｅｕｌｅｒ函数方程φ（ｘ）＝ｍ的解。当ｍ＝２ｐ，２ｐｎ，２ｐｑ（ｐ，ｑ为素数，ｎ为正整数）时，给出了方程φ（ｘ）＝ｍ的所有解。当ｍ＝２ｒ，２ｎｒ（ｒ为奇数）时，给出了方程φ（ｘ）＝ｍ的解结构。这一结果可以应用在有限群论的结构研究中（见文［４－６］）。
The solution of Euler function equation φ(x)=m is studied in this paper. When m=2p,2p n,2pq(p,q are primes, n is positive integer), all the solutions of equation φ(x)=m will be got. When m=2r, 2 nr(r is odd number), the structure of equaton φ(x)=m will be got.
