In
mathematics, the crank conjecture was a
conjecture
In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (a conjecture until proven in 1 ...
about the existence of the
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 Mat ...
that separates partitions of a number
congruent to 6 mod 11 into 11 equal classes. The conjecture was introduced by and proved by .
References
*
*{{Citation , last1=Dyson , first1=Freeman J. , title=Some guesses in the theory of partitions , url=https://books.google.com/books?id=nnyNUidX1OMC&pg=PA51 , id=Reprinted in Selected papers of
Freeman Dyson
Freeman John Dyson (15 December 1923 – 28 February 2020) was an English-American theoretical physicist and mathematician known for his works in quantum field theory, astrophysics, random matrices, mathematical formulation of quantum m ...
with commentary , year=1944 , journal=Eureka (Cambridge) , volume=8 , pages= 10–15, isbn=9780821805619
Number theory
Conjectures that have been proved