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Results tagged with hilbert-function
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user 3106
For questions on the Hilbert function and Hilbert polynomial of graded algebras over fields.
3
votes
Accepted
Raising coefficients of a power series to some power
It's a general fact about any rational power series
$$\sum_{n=0}^\infty a_n t^n = {p(t) \over \prod_{i=1}^r (1-\gamma_i t)^{d_i}}$$
(where $p(t)$ is some polynomial of degree less than $\sum_{i=1}^r …
- 82.7k
5
votes
On the polynomial $\sum_{k=0}^n\binom{n}{k}(-1)^kX^{k(n-k)}$
This is a comment on Zach Teitler's question about Hilbert functions.
Fröberg's conjecture implies, as a special case, that the Hilbert function of an ideal generated by $2m$ general degree-$(2m−1)$ …
- 82.7k