On restricted partitions of numbers

Applicable Algebra in Engineering Communication and Computing ◽

10.1007/s00200-021-00524-5 ◽

2021 ◽

Author(s):

H. F. Mattson

Keyword(s):

Restricted Partitions

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Asymptotics of the Number of Restricted Partitions

Russian Journal of Mathematical Physics ◽

10.1134/s1061920820040056 ◽

2020 ◽

Vol 27 (4) ◽

pp. 456-468

Author(s):

V. L. Chernyshev ◽

T. W. Hilberdink ◽

V. E. Nazaikinskii

Keyword(s):

Restricted Partitions

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Restricted Partitions and Permutations

The Theory of Partitions ◽

10.1017/cbo9780511608650.006 ◽

1984 ◽

pp. 33-53

Keyword(s):

Restricted Partitions

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A comment on “‘NP = P?’ and restricted partitions”

Information Sciences ◽

10.1016/0020-0255(86)90029-0 ◽

1986 ◽

Vol 38 (3) ◽

pp. 299-301

Author(s):

He Zhang

Keyword(s):

Restricted Partitions

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ON GENERATING FUNCTIONS FOR RESTRICTED PARTITIONS OF RATIONAL INTEGERS

Proceedings of the National Academy of Sciences ◽

10.1073/pnas.41.1.37 ◽

1955 ◽

Vol 41 (1) ◽

pp. 37-42

Author(s):

C. A. Nicol ◽

H. S. Vandiver

Keyword(s):

Generating Functions ◽

Restricted Partitions

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Restricted partitions

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171204306502 ◽

2004 ◽

Vol 2004 (36) ◽

pp. 1893-1896

Author(s):

Rafael Jakimczuk

Keyword(s):

Recursive Method ◽

Restricted Partitions

We prove a known partitions theorem by Bell in an elementary and constructive way. Our proof yields a simple recursive method to compute the corresponding Sylvester polynomials for the partition. The previous known methods to obtain these polynomials are in general not elementary.

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