Sylvester’s theorem on partitions
E571007
Sylvester’s theorem on partitions is a result in number theory that provides a systematic way to count integer partitions subject to certain congruence or restriction conditions, forming part of the foundational work in partition theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Sylvester’s theorem on partitions canonical | 1 |
Statements (25)
| Predicate | Object |
|---|---|
| instanceOf |
mathematical theorem
ⓘ
result in number theory ⓘ |
| appliesTo |
partitions with congruence constraints
ⓘ
restricted integer partitions ⓘ |
| contributesTo | foundations of partition theory ⓘ |
| describes |
systematic counting of integer partitions under congruence conditions
ⓘ
systematic counting of integer partitions under restriction conditions ⓘ |
| field |
number theory
ⓘ
partition theory ⓘ |
| hasConcept |
congruence classes of parts in partitions
ⓘ
generating functions for partitions ⓘ restricted partition functions ⓘ |
| hasInfluenced |
development of systematic methods for counting restricted partitions
ⓘ
later work on partition congruences ⓘ |
| hasMathematician | James Joseph Sylvester NERFINISHED ⓘ |
| historicalPeriod | 19th century mathematics ⓘ |
| isPartOf | classical results in partition theory ⓘ |
| mainSubject | integer partitions ⓘ |
| namedAfter | James Joseph Sylvester NERFINISHED ⓘ |
| relatedTo |
combinatorial number theory
ⓘ
partition generating functions ⓘ partition identities ⓘ |
| topicOf | research in additive number theory ⓘ |
| usedFor |
deriving formulas for restricted partition numbers
ⓘ
enumeration of partitions with specified residue classes ⓘ |
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Input
Subject: Sylvester’s theorem on partitions Description of subject: Sylvester’s theorem on partitions is a result in number theory that provides a systematic way to count integer partitions subject to certain congruence or restriction conditions, forming part of the foundational work in partition theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.