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Results tagged with partitions
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user 1306
4
votes
vector partition
For rather trivial reasons,
$$
1+\sum_{(k,l)\ne (0,0)}p(k,l)x^ky^l=\prod_{(p,q)\ne(0,0)}\frac{1}{1-x^py^q} .
$$
Since these numbers include, as $p(n,0)$, the one-dimensional partition numbers, you …
- 16.9k
4
votes
2
answers
238
views
Databases for sequences indexed by partitions
Is there a database for sequences indexed by partitions similar to Sloane's OEIS? … I mean, I am aware that in the OEIS there are some arrays indexed by partitions, but I feel as though most of such sequences that frequently appear in combinatorial literature are not there. …
- 1,590
16
votes
Accepted
Majorization and Schur Polynomials
This question is listed as a conjecture (conjecture 7.4 in the section "Open questions") in a recent paper of Cuttler, Greene and Skandera.
- 16.9k