Weak uniform distribution for divisor functions. I

Rayner, Francis J.

doi:10.1090/S0025-5718-1988-0917839-9

Weak uniform distribution for divisor functions. I
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by Francis J. Rayner PDF

Math. Comp. 50 (1988), 335-342 Request permission

Abstract:

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.

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