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词条 Crank conjecture
释义

  1. References

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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 {{harvs|txt|authorlink=Freeman Dyson|last=Dyson|year=1944}} and proved by {{harvs|txt|last1=Andrews|last2=Garvan|year=1987}}.

References

  • {{Citation | last1=Andrews | first1=George E. | last2=Garvan | first2=F. G. | title=Dyson's crank of a partition | doi=10.1090/S0273-0979-1988-15637-6 | mr=929094 | year=1988 | journal=American Mathematical Society. Bulletin. New Series | issn=0002-9904 | volume=18 | issue=2 | pages=167–171}}
  • {{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 with commentary | year=1944 | journal=Eureka (Cambridge) | volume=8 | pages= 10–15}}

2 : Number theory|Conjectures that have been proved

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