Abstract
We study various approximation results of solutions of equations $f(x,Y)=0$ where $f(x,Y)\in\mathbb{K}[\![x]\!][Y]^r$ and $x$ and $Y$ are two sets of variables, and where some components of the solutions $y(x)\in\mathbb{K}[\![x]\!]^m$ do not depend on all the variables $x_j$. These problems were highlighted by M. Artin.
Citation
Dorin Popescu. Guillaume Rond. "Remarks on Artin Approximation with constraints." Osaka J. Math. 56 (3) 431 - 440, July 2019.
