Prodinger, H. On Cantor’s singular moments. (English) Zbl 0992.11054 Southwest J. Pure Appl. Math. 2000, No. 1, 27-29 (2000). The author uses Mellin transform techniques to answer a question posed by the problem Editor of the American Mathematical Monthly, namely, to compute \(J_{-1}=\sum_{n \geq 0}J_n\) where the \(J_n\) are Cantor’s singular moments defined by \[ J_n=\frac{2}{3(n+1)}\sum_{j=0}^n \binom{n+1}{j}\frac{B_j}{3.2^{j-1}-1} , \] where the \(B_n\) are Bernoulli numbers. Reviewer: A.Knopfmacher (Wits) MSC: 11M41 Other Dirichlet series and zeta functions Keywords:Cantor distribution; Dirichlet series; Mellin-Perron summation PDFBibTeX XMLCite \textit{H. Prodinger}, Southwest J. Pure Appl. Math. 2000, No. 1, 27--29 (2000; Zbl 0992.11054) Full Text: arXiv EuDML EMIS