Weak uniform distribution for divisor functions. II

Rayner, Francis J.

doi:10.1090/S0025-5718-1988-0942160-2

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

Math. Comp. 51 (1988), 331-337 Request permission

Abstract:

The author’s methods (reference [4]) are developed further to apply to divisor functions ${\sigma _i}$ for even values of i. The results of calculations for even values of i in the range $4 \leq i \leq 50$ are tabulated.

References

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Władysław Narkiewicz, Uniform distribution of sequences of integers in residue classes, Lecture Notes in Mathematics, vol. 1087, Springer-Verlag, Berlin, 1984. MR 766563, DOI 10.1007/BFb0100180
W. Narkiewicz and F. Rayner, Distribution of values of $\sigma _{2}\,(n)$ in residue classes, Monatsh. Math. 94 (1982), no. 2, 133–141. MR 678048, DOI 10.1007/BF01301931
Francis J. Rayner, Weak uniform distribution for divisor functions. I, Math. Comp. 50 (1988), no. 181, 335–342. MR 917839, DOI 10.1090/S0025-5718-1988-0917839-9