I have this formula from my problem session
where
so there are
monic polynomials in of
monic polynomials in of
monic polynomials in of
so it would take quite long time to list them all by hand..
1.) For p = 3, find the number of monic irreducible polynomials in Zp[x] of the following degrees
(a) 5
(b) 9
(c) 10
2.) Repeat Exercise 1 for a general prime p. Your answers will be formulas in p.
Can anybody help me out, at least with part 1!? There must be any easier way than writing them all out.
I have this formula from my problem session
where
so there are
monic polynomials in of
monic polynomials in of
monic polynomials in of
so it would take quite long time to list them all by hand..