Arithmetic functions | Integer partitions

Crank of a partition

In number theory, the crank of a partition of an integer is a certain integer associated with the partition. The term was first introduced without a definition by Freeman Dyson in a 1944 paper published in Eureka, a journal published by the Mathematics Society of Cambridge University. Dyson then gave a list of properties this yet-to-be-defined quantity should have. In 1988, George E. Andrews and Frank Garvan discovered a definition for the crank satisfying the properties hypothesized for it by Dyson. (Wikipedia).

Crank of a partition
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Related pages

Srinivasa Ramanujan | Partition (number theory) | Rank of a partition | Integer | Partition function (number theory) | Number theory