Multiple series expressions for the Newton series which interpolate finite multiple harmonic sums

Mathematics – Number Theory

Scientific paper

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16 pages

Scientific paper

The Newton series which interpolate finite multiple harmonic sums are useful
in the study of multiple zeta values (MZV's). In this paper, we prove that
these Newton series can be written as multiple series. As an application, we
give a formula for MZV's which contains the duality.

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