| | | Exercises |
E: Prove, by considering suitable actions, the following facts:
- " n Î N*: åd | n f(d)=n.
- " prime p: (p-1)! º-1 (p) (Wilson).
- " z Î Z,p prime, n Î N*: z(pn) ºz(pn-1) (pn).
- " z Î Z,n Î N* such that gcd (z,n)=1: z f(n) º1 (n) (Euler).
| harald.fripertinger "at" uni-graz.at | http://www-ang.kfunigraz.ac.at/~fripert/ | UNI-Graz | Institut für Mathematik | UNI-Bayreuth | Lehrstuhl II für Mathematik |
| | | Exercises |