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- Rank_of_a_partition abstract "In mathematics, particularly in the fields of number theory and combinatorics, the rank of a partition of a positive integer is a certain integer associated with the partition. In fact at least two different definitions of rank appear in the literature. The first definition, with which most of this article is concerned, is that the rank of a partition is the number obtained by subtracting the number of parts in the partition from the largest part in the partition. The concept was introduced by Freeman Dyson in a paper published in the journal Eureka. It was presented in the context of a study of certain congruence properties of the partition function discovered by the Indian mathematical genius Srinivasa Ramanujan. A different concept, sharing the same name, is used in combinatorics, where the rank is taken to be the size of the Durfee square of the partition.".
- Rank_of_a_partition thumbnail Rank_of_a_partition.svg?width=300.
- Rank_of_a_partition wikiPageID "37733253".
- Rank_of_a_partition wikiPageLength "11315".
- Rank_of_a_partition wikiPageOutDegree "22".
- Rank_of_a_partition wikiPageRevisionID "705626123".
- Rank_of_a_partition wikiPageWikiLink Category:Arithmetic_functions.
- Rank_of_a_partition wikiPageWikiLink Category:Combinatorics.
- Rank_of_a_partition wikiPageWikiLink Category:Number_theory.
- Rank_of_a_partition wikiPageWikiLink Category:Srinivasa_Ramanujan.
- Rank_of_a_partition wikiPageWikiLink Combinatorics.
- Rank_of_a_partition wikiPageWikiLink Congruence_relation.
- Rank_of_a_partition wikiPageWikiLink Crank_of_a_partition.
- Rank_of_a_partition wikiPageWikiLink Durfee_square.
- Rank_of_a_partition wikiPageWikiLink Eureka_(University_of_Cambridge_magazine).
- Rank_of_a_partition wikiPageWikiLink Freeman_Dyson.
- Rank_of_a_partition wikiPageWikiLink Integer.
- Rank_of_a_partition wikiPageWikiLink Mathematics.
- Rank_of_a_partition wikiPageWikiLink Number_theory.
- Rank_of_a_partition wikiPageWikiLink Partition_(number_theory).
- Rank_of_a_partition wikiPageWikiLink Ramanujans_congruences.
- Rank_of_a_partition wikiPageWikiLink Srinivasa_Ramanujan.
- Rank_of_a_partition wikiPageWikiLink Young_tableau.
- Rank_of_a_partition wikiPageWikiLink File:Rank_of_a_partition.svg.
- Rank_of_a_partition wikiPageWikiLinkText "Rank of a partition".
- Rank_of_a_partition wikiPageWikiLinkText "rank of a partition".
- Rank_of_a_partition wikiPageUsesTemplate Template:Main.
- Rank_of_a_partition wikiPageUsesTemplate Template:Reflist.
- Rank_of_a_partition subject Category:Arithmetic_functions.
- Rank_of_a_partition subject Category:Combinatorics.
- Rank_of_a_partition subject Category:Number_theory.
- Rank_of_a_partition subject Category:Srinivasa_Ramanujan.
- Rank_of_a_partition hypernym Integer.
- Rank_of_a_partition type Scientist.
- Rank_of_a_partition type Type.
- Rank_of_a_partition type Combinatoric.
- Rank_of_a_partition type Field.
- Rank_of_a_partition type Scientist.
- Rank_of_a_partition type Type.
- Rank_of_a_partition comment "In mathematics, particularly in the fields of number theory and combinatorics, the rank of a partition of a positive integer is a certain integer associated with the partition. In fact at least two different definitions of rank appear in the literature. The first definition, with which most of this article is concerned, is that the rank of a partition is the number obtained by subtracting the number of parts in the partition from the largest part in the partition.".
- Rank_of_a_partition label "Rank of a partition".
- Rank_of_a_partition sameAs Q7293214.
- Rank_of_a_partition sameAs m.0ngv40_.
- Rank_of_a_partition sameAs Q7293214.
- Rank_of_a_partition wasDerivedFrom Rank_of_a_partition?oldid=705626123.
- Rank_of_a_partition depiction Rank_of_a_partition.svg.
- Rank_of_a_partition isPrimaryTopicOf Rank_of_a_partition.