Is there a limit law for the period of polynomials of degree n , for large n ,over a finite field GF(q) for fixed q?

Recall that the period of a polynomial p(x) is the smallest n such that p divides x^n-1.The average is known to be of the order of q^n . I am interested in order of magnitude of the tail of the...

21 January 2014 4,068 4 View