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Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)



Dyson's crank of a partition

Authors: George E. Andrews and F. G. Garvan
Journal: Bull. Amer. Math. Soc. 18 (1988), 167-171
MSC (1985): Primary 11P76
MathSciNet review: 929094
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References [Enhancements On Off] (What's this?)

  • 1. G. E. Andrews, The theory of partitions, Encyclopedia of Mathematics and Its Applications, Vol. 2 (G.-C. Rota, ed.), Addison-Wesley, Reading, 1976 (Reprinted: Cambridge Univ. Press, London and New York, 1984). MR 557013
  • 2. A. O. L. Atkin and P. Swinnerton-Dyer, Some properties of partitions, Proc. London Math. Soc. (3) 4 (1954), 84-106. MR 60535
  • 3. F. J. Dyson, Some guesses in the theory of partitions, Eureka (Cambridge) 8 (1944), 10-15.
  • 4. F. G. Garvan, Generalizations of Dyson's rank, Ph. D. thesis, Pennsylvania State Univ., 1986.
  • 5. F. G. Garvan, New combinatorial interpretations of Ramanujan's partition congruences mod 5, 7 and 11, Trans. Amer. Math. Soc. (to appear). MR 920146

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