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", American Mathematical Society. Bulletin. New Series, 18 (2): 167–171, ISSN 0002-9904, MR 929094, doi:10.1090/S0273-0979-1988-15637-6 
• 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