East Asian mathematical journal

  • 제28권1호
  • /
  • Pages.101-107
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  • 2012
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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ON THE MULTI-DIMENSIONAL PARTITIONS OF SMALL INTEGERS

  • Kim, Jun-Kyo (Department of Mathematics, Pusan National University)
  • 투고 : 2011.05.03
  • 심사 : 2011.12.16
  • 발행 : 2012.01.31
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초록

For each dimension exceeds 1, determining the number of multi-dimensional partitions of a positive integer is an open question in combinatorial number theory. For n ${\leq}$ 14 and d ${\geq}$ 1 we derive a formula for the function ${\wp}_d(n)$ where ${\wp}_d(n)$ denotes the number of partitions of n arranged on a d-dimensional space. We also give an another definition of the d-dimensional partitions using the union of finite number of divisor sets of integers.

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참고문헌

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