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On the rational summation problem

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Abstract

A partial proof of the van Hoeij-Abramov conjecture on the algorithm of definite rational summation is given. The results obtained underlie an algorithm for finding a wide class of sums of the form \(\sum\limits_{k = 0}^{n - 1} {R\left( {k,n} \right)} \).

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Authors and Affiliations

  1. Krasnoyarsk State Pedagogical University, ul. Lebedevoi 89, 660049, Krasnoyarsk, Russia

    S. P. Tsarev

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  1. S. P. Tsarev
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Translated from Programmirovanie, Vol. 31, No. 2, 2005.

Original Russian Text Copyright © 2005 by Tsarev.

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Tsarev, S.P. On the rational summation problem. Program Comput Soft 31, 56–59 (2005). https://doi.org/10.1007/s11086-005-0013-9

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  • DOI: https://doi.org/10.1007/s11086-005-0013-9

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