Sato, Hirotaka On a relation between the Riemann zeta function and the Stirling numbers. (English) Zbl 1202.11042 Integers 8, No. 1, Article A53, 3 p. (2008). Summary: Let \(\zeta (z)\) be the Riemann zeta function and \(s(k, n)\) the Stirling numbers of the first kind. Shen proved the identity \[ \zeta (n+1) = \sum^{\infty}_{k=n} \frac {s(k,n)}{k\dot k!}\qquad (1 \leq n \in \mathbb Z). \] We give a short proof by elementary methods Cited in 3 Documents MSC: 11M06 \(\zeta (s)\) and \(L(s, \chi)\) 11B73 Bell and Stirling numbers PDFBibTeX XMLCite \textit{H. Sato}, Integers 8, No. 1, Article A53, 3 p. (2008; Zbl 1202.11042) Full Text: EuDML EMIS