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· 2013

Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms

Jakob Ablinger, Carsten Schneidera

Short summary

This paper systematically explores the algorithmic and analytic properties of generalized harmonic sums (S-sums), which appear in high-energy physics calculations and combinatorial problems. It establishes a connection between S-sums and generalized harmonic polylogarithms via Mellin transforms.

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Field: Algebra and Number Theory

Algebra and Number TheoryMathematics