The Power of q pp 113-121 | Cite as

The Crank of a Partition

  • Michael D. HirschhornEmail author
Part of the Developments in Mathematics book series (DEVM, volume 49)


The crank of a partition, proposed by Freeman Dyson and discovered by Andrews and Garvan, is described, and used to prove the simplest of Ramanujan’s partition congruences.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of New South WalesSydneyAustralia

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