Reduction of Power Series in a Polydisc with Respect to a Gröbner Basis

Justyna Szpond · Bulletin of the Polish Academy of Sciences Mathematics · 2005

We deal with a reduction of power series convergent in a polydisc with respect to a Gröbner basis of a polynomial ideal. The results are applied to proving that a Nash function whose graph is algebraic in a “large enough” polydisc, must be a

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