The probability of relatively prime polynomials in ℤpk[x]
Thomas R. Hagedorn, Jeffrey Hatley · Involve a Journal of Mathematics · 2010
Let P R (m, n) denote the probability that two randomly chosen monic polynomials f , g ∈ R[x] of degrees m and n, respectively, are relatively prime.Let q = p k be a prime power.We establish an explicit formula for P R (m, 2) when R = ޚ q , the ring of integers mod q.