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REMARKS ON ARTIN APPROXIMATION WITH CONSTRAINTS

open access: yesREMARKS ON ARTIN APPROXIMATION WITH CONSTRAINTS
We study various approximation results of solutions of equations 𝑓(π‘₯,π‘Œ) = 0 where 𝑓(π‘₯,π‘Œ)∈ π•‚βŸ¦π‘₯⟧[π‘Œ]Κ³ and π‘₯ and π‘Œ are two sets of variables, and where some components of the solutions 𝑦(π‘₯) ∈ π•‚βŸ¦π‘₯⟧ͫ do not depend on all the variables π‘₯𝑗. These problems were highlighted by M. Artin.
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