# Questions tagged [fewnomial]

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3
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### Multiplicity of roots of a fewnomial

It is easy to show that a complex polynomial with $N$ non-zero coefficients cannot have a non-zero root of multiplicity $N$ or more. Is there any standard name / reference for this fact?
Also, ...

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### Unboundedness of number of solutions of intersection of bivariate polynomial with graph of function from an o-minimal structure

I am trying to understand a construction sketched in the paper by Gwozdziewicz, Kurdyka and Parusinski in the Proceedings of the AMS 1999 (paper here) and I'd like to request some help. The ...

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### What is the shortest polynomial divisible by $(x-1)(y-1)(x^2y-1)$

I am interested in polynomials with few terms ("short polynomials", "fewnomials") in ideals. A simple to state question is
Given an ideal $I\subset k[x_1,\dots,x_n]$, what is the shortest polynomial ...