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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)
     

Dyson's crank of a partition

Author(s): George E. Andrews; F. G. Garvan
Journal: Bull. Amer. Math. Soc. 18 (1988), 167-171.
MSC (1985): Primary 11P76
MathSciNet review: 929094
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References | Similar articles | Additional information

References:

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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Additional Information:

DOI: 10.1090/S0273-0979-1988-15637-6
PII: S 0273-0979(1988)15637-6


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