225 citations · 3.5k across the 94 of their papers we have counts for
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math-ph2013★ 48 cited
Generalized Harmonic, Cyclotomic, and Binomial Sums, their Polylogarithms and Special Numbers
J Ablinger, J Blümlein, C Schneider
A survey is given on mathematical structures which emerge in multi-loop Feynman diagrams. These are multiply nested sums, and, associated to them by an inverse Mellin transform, sp…
math-ph2013★ 173 cited
Analytic and Algorithmic Aspects of Generalized Harmonic Sums and Polylogarithms
Jakob Ablinger, Johannes Blümlein, Carsten Schneider
In recent three--loop calculations of massive Feynman integrals within Quantum Chromodynamics (QCD) and, e.g., in recent combinatorial problems the so-called generalized harmonic s…