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01508nam a2200313Ia 4500 |
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10.1016-j.aam.2022.102389 |
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|a 01968858 (ISSN)
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|a Constructing minimal telescopers for rational functions in three discrete variables
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|b Academic Press Inc.
|c 2022
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|z View Fulltext in Publisher
|u https://doi.org/10.1016/j.aam.2022.102389
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|a We present a new algorithm for constructing minimal telescopers for rational functions in three discrete variables. This is the first discrete reduction-based algorithm that goes beyond the bivariate case. The termination of the algorithm is guaranteed by a known existence criterion of telescopers. Our approach has the important feature that it avoids the potentially costly computation of certificates. Computational experiments are also provided so as to illustrate the efficiency of our approach. © 2022 Elsevier Inc.
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|a % reductions
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|a Abramov reduction
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|a Bivariate
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|a Computational experiment
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|a Creative telescoping
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|a Discrete variables
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|a Important features
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|a Minimal telescopers
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|a Rational functions
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|a Symbolic summation
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|a Telescopes
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|a Chen, S.
|e author
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|a Hou, Q.-H.
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|a Huang, H.
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|a Labahn, G.
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|a Wang, R.-H.
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|t Advances in Applied Mathematics
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