대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제17권3호
  • /
  • Pages.431-437
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  • 2002
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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THE DOUBLE-COMPLETE PARTITIONS OF INTEGERS

  • 발행 : 2002.07.01
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초록

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.

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참고문헌

  1. Amer. Math. Monthly v.68 Note on complete sequences of integers J. L. Brown https://doi.org/10.2307/2311150
  2. Amer. Math. Monthly v.67 Problem E 1424 V. E. Hoggatt;C. King
  3. preprint The r-perfect Partitions H. Lee;S. Park
  4. preprint The generalizations of Zeckendorf Theorem
  5. Cambridge University Press v.1;2 Combinatory Analysis P. A. MacMahon
  6. Fibonacci Quart v.36 Complete Partitions S. Park
  7. Discrete Math. v.183 The r-complete Partitions https://doi.org/10.1016/S0012-365X(97)00177-5