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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.

References [Enhancements On Off] (What's this?)

  • [1] W. Narkiewicz, "Distribution of coefficients of Eisenstein series in residue classes," Acta Arith., v. 43, 1983, pp. 83-92. MR 730850 (85g:11086)
  • [2] W. Narkiewicz, Uniform Distribution of Sequences of Integers in Residue Classes, Lecture Notes in Math., vol. 1087, Springer-Verlag, Berlin and New York, 1984. MR 766563 (86g:11014)
  • [3] W. Narkiewicz & F. Rayner, "Distribution of values of $ {\sigma _2}(n)$ in residue classes," Monatsh. Math., v. 94, 1982, pp. 133-141. MR 678048 (84b:10070)
  • [4] Francis J. Rayner, "Weak uniform distribution for divisor functions. I," Math. Comp., v. 50, 1988, pp. 335-342. MR 917839 (89g:11090)

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Article copyright: © Copyright 1988 American Mathematical Society

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