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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…
cs.SC2015★ 6 cited
A streamlined difference ring theory: Indefinite nested sums, the alternating sign and the parameterized telescoping problem
Carsten Schneider
We present an algebraic framework to represent indefinite nested sums over hypergeometric expressions in difference rings. In order to accomplish this task, parts of Karr's differe…