Harmonic Sums and Mellin Transforms
Johannes Bl\"umlein
TL;DR
This paper explores the mathematical structure of harmonic sums and Mellin transforms, which are fundamental in analyzing functions in massless field theories, providing insights into their algebraic properties.
Contribution
It introduces a detailed analysis of the mathematical structure of harmonic sums and Mellin transforms relevant to massless field theories.
Findings
Characterization of harmonic sums' algebraic properties
Relation between harmonic sums and Mellin transforms
Implications for calculations in massless field theories
Abstract
The finite and infinite harmonic sums form the general basis for the Mellin transforms of all individual functions describing inclusive quantities such as coefficient and splitting functions which emerge in massless field theories. We discuss the mathematical structure of these quantities.
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