Crank conjecture

In mathematics, the crank conjecture was a conjecture about the existence of the crank of a partition that separates partitions of a number congruent to 6 mod 11 into 11 equal classes. The conjecture was introduced by Dyson (1944) and proved by Andrews and Garvan (1987).

References

• Andrews, George E.; Garvan, F. G. (1988), "Dyson's crank of a partition", Bulletin of the American Mathematical Society, New Series 18 (2): 167–171, doi:10.1090/S0273-0979-1988-15637-6, ISSN 0002-9904 
• Dyson, Freeman J. (1944), "Some guesses in the theory of partitions", Eureka (Cambridge) 8: 10–15, Reprinted in Selected papers of Freeman Dyson with commentary, ISBN 9780821805619, https://books.google.com/books?id=nnyNUidX1OMC&pg=PA51