Weak Uniform Distribution for Divisor Functions. I
Francis J. Rayner · Mathematics of Computation · 1988
Narkiewicz (reference [3, pp. 204-205]) has proposed an algorithm for determining the moduli with respect to which a given arithmetic function (of suitable type) has weak uniform distribution. The class of functions to which this algorithm applies includes the divisor functions ${\sigma _i}$. The present paper gives an improvement to the algorithm for odd values of i, which makes computation feasible for values of i up to 200. The results of calculations for odd values of i in the range $1 \leq i \leq 199$ are reported.