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Good morning everyone, I'm a french student who wants to pass the contest of ENS Ulm I need specific problems and exercises, I hope someone would help me here... I know there are many french student in this forum. Let's start with this difficult oral which was given in ENS Paris:

What is the dimension of vector space of symmetric polynomials with $k$ variables and degree at most $n$ ?

I've seen this problem in this forum but no convincing answer were given. Thanks for your help, I'll be so much thankful.

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  • $\begingroup$ Quel est le degré en général d'un polynôme non nul à plusieurs variables ? $\endgroup$ – Maman Jun 19 '17 at 1:47

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