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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 205 - 221 (17page)
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초록· 키워드
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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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참고문헌 (13)
참고문헌 신청
M. Plank / 1901 / ÄUber das Gesetz der Energieverteilung im Normalspectrum / Annalen der Physik 309(3):553~563
C.E. Shannon / 1948 / A mathematical theory of communication / Bell System Technical Journal 27(3):379~423
P. Billingsley / 1974 / The probability theory of additive arithmetic functions / Annals of Probability 2:749~791
I. Kontoyiannis / 2007 / Some information-theoretic computations related to the distribution of prime numbers
I. Kontoyiannis / 2008 / Counting primes using entropy / IEEE Information Theory Society Newsletter :6~9
C.E. Shannon / 1948 / A mathematical theory of communication / Bell System Technical Journal 27(3):379~423
P. Billingsley / 1974 / The probability theory of additive arithmetic functions / Annals of Probability 2:749~791
I. Kontoyiannis / 2007 / Some information-theoretic computations related to the distribution of prime numbers
I. Kontoyiannis / 2008 / Counting primes using entropy / IEEE Information Theory Society Newsletter :6~9
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