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The Hopf algebra structure of multiple harmonic sums

Michael E. Hoffman
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Abstract

Multiple harmonic sums appear in the perturbative computation of various quantities of interest in quantum field theory. In this article we introduce a class of Hopf algebras that describe the structure of such sums, and develop some of their properties that can be exploited in calculations.

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Michael E. Hoffman. 2004-06-29. The Hopf algebra structure of multiple harmonic sums. https://doi.org/10.1016/j.nuclphysbps.2004.09.050

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