Weak uniform distribution for divisor functions. II

Rayner, Francis J.

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

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ISSN 1088-6842(online) ISSN 0025-5718(print)

Weak uniform distribution for divisor functions. II

Author: Francis J. Rayner
Journal: Math. Comp. 51 (1988), 331-337
MSC: Primary 11N69; Secondary 11N37
MathSciNet review: 942160
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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.

[1] W. Narkiewicz, Distribution of coefficients of Eisenstein series in residue classes, Acta Arith. 43 (1983), no. 1, 83–92. MR 730850 (85g:11086)
[2] Władysław Narkiewicz, Uniform distribution of sequences of integers in residue classes, Lecture Notes in Mathematics, vol. 1087, Springer-Verlag, Berlin, 1984. MR 766563 (86g:11014)
[3] W. Narkiewicz and F. Rayner, Distribution of values of 𝜎₂(𝑛) in residue classes, Monatsh. Math. 94 (1982), no. 2, 133–141. MR 678048 (84b:10070), http://dx.doi.org/10.1007/BF01301931
[4] Francis J. Rayner, Weak uniform distribution for divisor functions. I, Math. Comp. 50 (1988), no. 181, 335–342. MR 917839 (89g:11090), http://dx.doi.org/10.1090/S0025-5718-1988-0917839-9

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