Power sums of digital sums

doi:10.1016/0022-314X(86)90067-3

Journal of Number Theory

Volume 22, Issue 2, February 1986, Pages 161-176

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Abstract

s(n) denotes the sum of binary digits of n. We give new asymptotic estimates concerning the power sum S_d(N) = Σ_{0 < n < N} s(n)^d, where d is a fixed real number.

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^†: Professor Jean Coquet passed away on July 23, 1984.