Solve the following :

a) Show that

ordp((p^n)!)=1+p+p^2+p^3+....+p^(n-1)

b)For which values of p does the

following series converge in

Qp?

1)1+(15/7)+(15/7)^2+(15/7)^3+......

2)1!+2!+3!+4!+....

For

a) I wanna to count how many terms of (p^n)! containing the factor p but I

failed using my way.

For b) 1) I tried to use the definition of

convergent in Qp but when i got the geometric series then it is complicated to

analyse p and 2) I have no idea

Can someone help me ?? many

thanks