确定所有 values
F或any fixed 点 t t t 译文:, write t=qk+r t=qk+r t=qk+r 满足 0≤r<k0\le r<k 0≤r<k 译文:. Since f(t)=t f(t)=t f(t)=t 且 f(qk+r)=f(r)+qk f(qk+r)=f(r)+qk f(qk+r)=f(r)+qk 译文:, we get f(r)=r f(r)=r f(r)=r; hence fixed 点s 是precisely multiples 的 k k k. Beca使用每个 f(n) f(n)f(n) 是fixed, write f(r)=nrk f(r)=n_rk f(r)=nrk 对于 0≤r<k0\le r<k 0≤r<k, 满足 n0=0 n_0=0n0=0, 且obta中 f(qk+r)=qk+nrk f(qk+r)=qk+n_rk f(qk+r)=qk+nrk.