Carlos E. Arreche

activity

20122025

most citedComputing the differential Galois group of a one-parameter family of second order linear differential equations

11 citations · 12 across the 5 of their papers we have counts for

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cs.SC2025

Deciding summability via residues in theory and in practice

Carlos E. Arreche

In difference algebra, summability arises as a basic problem upon which rests the effective solution of other more elaborate problems, such as creative telescoping problems and the…

cs.SC2025

A computational approach to rational summability and its applications via discrete residues

Carlos E. Arreche, Hari P. Sitaula

A rational function $f (x)$ is rationally summable if there exists a rational function $g (x)$ such that $f (x) = g (x + 1) - g (x)$ . Detecting whether a given rational function is summable i…