Thierry Combot

activity

20112025

most citedA note on algebraic potentials and Morales-Ramis theory

27 citations · 62 across the 20 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.DS2021

Reduction of symbolic first integrals of planar vector fields

Thierry Combot

Consider a planar polynomial vector field $X$ , and assume it admits a symbolic first integral $F$ , i.e. of the $4$ classes, in growing complexity: Rational, Darbouxian, L…

math.AG2021

Elementary Integration of Superelliptic Integrals

Thierry Combot

Consider a superelliptic integral $I = \int P / (Q S^{1/ k}) d x$ with $K = Q (ξ)$ , $ξ$ a primitive $k$ th root of unity, $P, Q, S \in K [x]$ and $S$ has simple roots a…