Thierry Combot

activity

20142019

most citedComputing necessary integrability conditions for planar parametrized homogeneous potentials

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2019

Symbolic integration of hyperexponential 1-forms

Thierry Combot

Let $H$ be a hyperexponential function in $n$ variables $x = (x_{1}, \dots, x_{n})$ with coefficients in a field $K$ , $[K : Q] < \infty$ , and $ω$ a rational differe…

math-ph2016

Integrability of the one dimensional Schroedinger equation

Thierry Combot

We present a definition of integrability for the one dimensional Schroedinger equation, which encompasses all known integrable systems, i.e. systems for which the spectrum can be e…

cs.SC2014★ 3 cited

Computing necessary integrability conditions for planar parametrized homogeneous potentials

Alin Bostan, Thierry Combot, Safey El Din Mohab

Let $V\in\mathbb{Q}(i)(\a_1,\dots,\a_n)(\q_1,\q_2)$ be a rationally parametrized planar homogeneous potential of homogeneity degree $k \neq = - 2, 0, 2$ . We design an algorithm that co…