数论函数方程(φ_(2)(n))^(2)=S(SL(n^(3,4)))的可解性

Solvability of arithmetic function eqution(φ_(2)(n))^(2)=S(SL(n^(3,4)))

利用初等的方法,研究了数论函数方程(φ_(2)(n))^(2)=S(SL(n^(3)))和(φ_(2)(n))^(2)=S(SL(n_(4)))的可解性,得到方程(φ_(2)(n))_(2)=S(SL(n^(3)))的正整数解为n=16,方程(φ_(2)(n))^(2)=S(SL(n_(4)))的正整数解为n=24。

By using the elementary methods,the solvability of the number theoretic function equations(φ_(2)(n))^(2)=S(SL(n^(3)))and(φ_(2)(n))^(2)=S(SL(n^(4)))were studied,the positive integer solution of equation(φ_(2)(n))^(2)=S(SL(n^(3)))was n=16,and the positive integer solution of equation(φ_(2)(n))^(2)=S(SL(n(4)))was n=24.