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May 19 at 12:16 comment added Aleksei Kulikov Yes, something like this.
May 19 at 12:12 comment added Iris Can I understand as the follows: there exists a polynomial with the degree $\floor{\frac{N}{d}}$ in each variable, which has the total degree not exceeding $N$. Then we can apply the above result and obtain the inequlity with $n$ replaced by $N$.
May 19 at 10:00 comment added Aleksei Kulikov Isn't total degree at most $d$ times the degree in each variable? So you will get an extra factor $d^{k}$, which can be absorbed by the constant $C$.
May 18 at 14:08 history asked Iris CC BY-SA 4.0