Sums of products of Riemann zeta tails. (English) Zbl 1352.11071
Summary: A recent paper of O. Furdui and C. Vălean [ibid. 13, No. 2, 517–526 (2016; Zbl 1351.11051)] proves some results about sums of products of “tails” of the series for the Riemann zeta function. We show how such results can be proved with weaker hypotheses using multiple zeta values, and also show how they can be generalized to products of three or more such tails.
MSC:
| 11M06 | \(\zeta (s)\) and \(L(s, \chi)\) |
| 11M32 | Multiple Dirichlet series and zeta functions and multizeta values |
Citations:
Zbl 1351.11051Software:
OEISReferences:
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