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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:
- 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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