16 citations · 86 across the 18 of their papers we have counts for
18 papers
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 function…
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…
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…
Complex reflection groups as differential Galois groups
Carlos E. Arreche, Avery Bainbridge, Benjamin Obert +1
Complex reflection groups comprise a generalization of Weyl groups of semisimple Lie algebras, and even more generally of finite Coxeter groups. They have been heavily studied sinc…
Computing discrete residues of rational functions
Carlos E. Arreche, Hari P. Sitaula
In 2012 Chen and Singer introduced the notion of discrete residues for rational functions as a complete obstruction to rational summability. More explicitly, for a given rational f…
Symmedians as Hyperbolic Barycenters
Maxim Arnold, Carlos E. Arreche
The symmedian point of a triangle enjoys several geometric and optimality properties, which also serve to define it. We develop a new dynamical coordinatization of the symmedian, w…