Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 17 Issue 3
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- Pages.431-437
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- 2002
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
DOI QR Code
THE DOUBLE-COMPLETE PARTITIONS OF INTEGERS
- Lee, Ho-Kyu (Department of Mathematics Ewha Womans University) ;
- Park, Seung-Kyung (Department of Mathematics Yonsei University)
- Published : 2002.07.01
Abstract
Representing a positive integer in terms of a sum of smaller numbers with certain conditions has been studied since MacMahon [5] pioneered perfect partitions. The complete partitions is in this category and studied by the second author[6]. In this paper, we study complete partitions with more specified completeness, which we call the double-complete partitions.
Keywords
complete partition;double complete partition
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References
- Fibonacci Quart v.36 Complete Partitions S. Park
- Cambridge University Press v.1;2 Combinatory Analysis P. A. MacMahon
- Amer. Math. Monthly v.67 Problem E 1424 V. E. Hoggatt;C. King
- Discrete Math. v.183 The r-complete Partitions https://doi.org/10.1016/S0012-365X(97)00177-5
- Amer. Math. Monthly v.68 Note on complete sequences of integers J. L. Brown https://doi.org/10.2307/2311150
- preprint The r-perfect Partitions H. Lee;S. Park
- preprint The generalizations of Zeckendorf Theorem