Relations between the ranks and cranks of partitions

Details Relations between the ranks and cranks of partitions Relations between the ranks and cranks of partitions

2002-08-06

arxiv.org/abs/math/0208050v1

Mathematics

Number Theory

24 pages

Scientific paper

New identities and congruences involving the ranks and cranks of partitions
are proved. The proof depends on a new partial differential equation connecting
their generating functions.

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