Constructing minimal telescopers for rational functions in three discrete variables

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....

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Bibliographic Details
Main Authors: Chen, S. (Author), Hou, Q.-H (Author), Huang, H. (Author), Labahn, G. (Author), Wang, R.-H (Author)
Format: Article
Language:English
Published: Academic Press Inc. 2022
Subjects:
Online Access:View Fulltext in Publisher
LEADER 01508nam a2200313Ia 4500
001 10.1016-j.aam.2022.102389
008 220718s2022 CNT 000 0 und d
020 |a 01968858 (ISSN) 
245 1 0 |a Constructing minimal telescopers for rational functions in three discrete variables 
260 0 |b Academic Press Inc.  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1016/j.aam.2022.102389 
520 3 |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. 
650 0 4 |a % reductions 
650 0 4 |a Abramov reduction 
650 0 4 |a Bivariate 
650 0 4 |a Computational experiment 
650 0 4 |a Creative telescoping 
650 0 4 |a Discrete variables 
650 0 4 |a Important features 
650 0 4 |a Minimal telescopers 
650 0 4 |a Rational functions 
650 0 4 |a Symbolic summation 
650 0 4 |a Telescopes 
700 1 |a Chen, S.  |e author 
700 1 |a Hou, Q.-H.  |e author 
700 1 |a Huang, H.  |e author 
700 1 |a Labahn, G.  |e author 
700 1 |a Wang, R.-H.  |e author 
773 |t Advances in Applied Mathematics