3 papers
math.AG2025
Panorbital residues and elliptic summability
Carlos E. Arreche, Matthew W. Babbitt
For the translation automorphism defined by a non-torsion point in an elliptic curve, we consider the elliptic summability problem of deciding whether a given elliptic functio…
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 is rationally summable if there exists a rational function such that . Detecting whether a given rational function is summable i…