Dyson’s crank of a partition
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- by George E. Andrews and F. G. Garvan PDF
- Bull. Amer. Math. Soc. 18 (1988), 167-171
References
- George E. Andrews, The theory of partitions, Encyclopedia of Mathematics and its Applications, Vol. 2, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1976. MR 0557013
- A. O. L. Atkin and P. Swinnerton-Dyer, Some properties of partitions, Proc. London Math. Soc. (3) 4 (1954), 84–106. MR 60535, DOI 10.1112/plms/s3-4.1.84 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.
- F. G. Garvan, New combinatorial interpretations of Ramanujan’s partition congruences mod $5,7$ and $11$, Trans. Amer. Math. Soc. 305 (1988), no. 1, 47–77. MR 920146, DOI 10.1090/S0002-9947-1988-0920146-8
Additional Information
- Journal: Bull. Amer. Math. Soc. 18 (1988), 167-171
- MSC (1985): Primary 11P76
- DOI: https://doi.org/10.1090/S0273-0979-1988-15637-6
- MathSciNet review: 929094