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The Hopf algebra structure of multiple harmonic sums
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math.QAmath-phmath.MP
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sumsharmonichopfmultiplestructurealgebraalgebrasappear
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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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