Bulletin (New Series) of the American Mathematical Society

Dyson's crank of a partition

George E. Andrews and F. G. Garvan

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Bull. Amer. Math. Soc. (N.S.) Volume 18, Number 2 (1988), 167-171.

First available in Project Euclid: 4 July 2007

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11P76


Andrews, George E.; Garvan, F. G. Dyson's crank of a partition. Bull. Amer. Math. Soc. (N.S.) 18 (1988), no. 2, 167--171. http://projecteuclid.org/euclid.bams/1183554533.

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  • 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).
  • 2. A. O. L. Atkin and P. Swinnerton-Dyer, Some properties of partitions, Proc. London Math. Soc. (3) 4 (1954), 84-106.
  • 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).