The number of partitions of the integer $N$ into $M$ nonzero positive integers
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- by W. J. A. Colman PDF
- Math. Comp. 39 (1982), 213-224 Request permission
Abstract:
The function ${p_m}(n)$ is defined as the number of partitions of the integer n into exactly m nonzero positive integers where the order is irrelevant. A series in which the leading terms alternate in sign is given for ${p_m}(n)$ which yields good numerical estimates.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 L. E. Dickson, History of the Theory of Numbers, Vol. 2, Chelsea, New York, 1966. H. Gupta, Tables of Partitions, The Royal Society Mathematical Tables, Vol. 4, Cambridge, 1958.
- G. J. Rieger, รber Partitionen, Math. Ann. 138 (1959), 356โ362 (German). MR 108472, DOI 10.1007/BF01344156
Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Math. Comp. 39 (1982), 213-224
- MSC: Primary 10A45
- DOI: https://doi.org/10.1090/S0025-5718-1982-0658226-5
- MathSciNet review: 658226