Disambiguation evidence for Dyson’s transform in number theory via surface form
"Dyson’s transform"
As subject (25)
Triples where this entity appears as subject under the
label "Dyson’s transform".
| Predicate | Object |
|---|---|
| appliesTo | integer partitions ⓘ |
| context | theory of integer partitions ⓘ |
| field | combinatorics ⓘ |
| field | number theory ⓘ |
| goal | to construct explicit correspondences between partition sets ⓘ |
| goal | to obtain combinatorial interpretations of analytic identities ⓘ |
| instanceOf | combinatorial technique ⓘ |
| instanceOf | construction in partition theory ⓘ |
| instanceOf | tool in additive number theory ⓘ |
| introducedBy | Freeman Dyson ⓘ |
| involves | mapping partitions to other partitions ⓘ |
| involves | preserving combinatorial statistics under transformation ⓘ |
| methodType | bijective technique ⓘ |
| methodType | combinatorial transformation ⓘ |
| namedAfter | Freeman Dyson ⓘ |
| notableFor | use in proofs of partition congruences ⓘ |
| purpose | to manipulate integer partitions ⓘ |
| purpose | to relate different families of partitions ⓘ |
| purpose | to study partition congruences ⓘ |
| purpose | to study partition identities ⓘ |
| relatedTo | Dyson’s rank of a partition ⓘ |
| relatedTo | Ramanujan partition congruences ⓘ |
| relatedTo | Rogers–Ramanujan-type identities ⓘ |
| usedIn | analysis of partition generating functions ⓘ |
| usedIn | combinatorial proofs of partition theorems ⓘ |