225 citations · 2.4k across the 60 of their papers we have counts for
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cs.SC2015
Algebraic independence of sequences generated by (cyclotomic) harmonic sums
Jakob Ablinger, Carsten Schneider
An expression in terms of (cyclotomic) harmonic sums can be simplified by the quasi-shuffle algebra in terms of the so-called basis sums. By construction, these sums are algebraica…
hep-ph2015★ 127 cited
Calculating Three Loop Ladder and V-Topologies for Massive Operator Matrix Elements by Computer Algebra
J. Ablinger, A. Behring, J. Blümlein +3
Three loop ladder and -topology diagrams contributing to the massive operator matrix element are calculated. The corresponding objects can all be expressed in terms of…
math.NT2015
Discovering and Proving Infinite Binomial Sums Identities
Jakob Ablinger
We consider binomial and inverse binomial sums at infinity and rewrite them in terms of a small set of constants, such as powers of or . In order to perform these simp…