Key points are not available for this paper at this time.
If an unlimited number of processors is available, then for any given number of steps s, s≥1, polynomials of degree as large as C2 n-δ can be evaluated, where C= √2 and δ ≈ √2s. This implies polynomials of degree can be evaluated in log 2 n+√2log 2 n +0(1) steps. Various techniques for the evaluation of polynomials in a "reasonable number" of "steps" are compared with the known lower bounds.
Kiyoshi Maruyama (Mon,) studied this question.