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Algebraic entropies of natural numbers with one or two prime factorsAlgebraic entropies of natural numbers with one or two prime factors
- Other Titles
- Algebraic entropies of natural numbers with one or two prime factors
- Issue Date
- 2016
- Publisher
- 한국수학교육학회
- Keywords
- Entropy; Partition function; Additive entropy; Multiplicative entropy; Relative comparison density
- Citation
- 순수 및 응용수학, v.23, no.3, pp 205 - 221
- Pages
- 17
- Indexed
- KCI
- Journal Title
- 순수 및 응용수학
- Volume
- 23
- Number
- 3
- Start Page
- 205
- End Page
- 221
- ISSN
- 1226-0657
2287-6081
- Abstract
- We formulate the additive entropy of a natural number in terms of the additive partition function, and show that its multiplicative entropy is directly related to the multiplicative partition function. We give a practical formula for the multiplicative entropy of natural numbers with two prime factors. We use this formula to analyze the comparative density of additive and multiplicative entropy, prove that this density converges to zero as the number tends to infinity, and em- pirically observe this asymptotic behavior.
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