Department of Mathematics, University of Turku, Turku, Finland
Abstract:
Let p be an odd prime, , D a difference set mod p having a nontrivial multiplier, and ν = H(ζ), where H(x) is the Hall polynomial of D. For any α = Σi=0p?1aiζi with rational ai denote δ(α) = max ∥ ai ? aj ∥. Assuming that there are no nontrivial multiplicative dependence relations among the conjugates of ν, we obtain results for