On rational definite summation

Details On rational definite summation On rational definite summation

2004-07-24

arxiv.org/abs/cs/0407059v1

Computer Science

Symbolic Computation

LaTeX 2.09, 7 pages, submitted to "Programming & Computer Software"

Scientific paper

We present a partial proof of van Hoeij-Abramov conjecture about the
algorithmic possibility of computation of finite sums of rational functions.
The theoretical results proved in this paper provide an algorithm for
computation of a large class of sums $ S(n) = \sum_{k=0}^{n-1}R(k,n)$.

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