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A correlated digital sum problem associated with sums of three squares

Research output: Contribution to journalArticlepeer-review

  • A. H. Osbaldestin
  • P. Shiu

Let ∆(n) be the error term associated with the asymptotic formula for the counting function on the set of numbers that are sums of three squares. By considering ∆(n) as a correlated digital sum and applying the method of H. Delange on ordinary digital sums we give very precise information on the average value of ∆(m) in terms of a periodic continuous nowhere differentiable function having an absolutely convergent Fourier series with coefficients expressed in terms of the Hurwitz zeta function.

Original languageEnglish
Pages (from-to)369-374
Number of pages6
JournalBulletin of the London Mathematical Society
Issue number4
Publication statusPublished - 1 Jan 1989

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