Read More
Date: 22-12-2019
697
Date: 21-11-2019
870
Date: 6-1-2021
934
|
The Feller-Tornier constant is the density of integers that have an even number of prime factors with in their prime factorization. It is given by
(1) |
|||
(2) |
(OEIS A065493), where is the th prime. It can be given by the sum
(3) |
where is the prime zeta function.
REFERENCES:
Cohen, E. "Some Asymptotic Formulas in the Theory of Numbers." Trans. Amer. Math. Soc. 112, 214-227, 1964.
Feller, W. and Tornier, E. "Mengentheoretische Untersuchungen von Eigenschaften der Zahlenreihe." Math. Ann. 107, 188-232, 1933.
Finch, S. R. Mathematical Constants. Cambridge, England: Cambridge University Press, p. 106, 2003.
Niklasch, G. "Some Number-Theoretical Constants." https://www.gn-50uma.de/alula/essays/Moree/Moree.en.shtml.
Schoenberg, I. J. "On Asymptotic Distributions of Arithmetical Functions." Trans. Amer. Math. Soc. 39, 315-330, 1936.
Sloane, N. J. A. Sequence A065493 in "The On-Line Encyclopedia of Integer Sequences."
|
|
علامات بسيطة في جسدك قد تنذر بمرض "قاتل"
|
|
|
|
|
أول صور ثلاثية الأبعاد للغدة الزعترية البشرية
|
|
|
|
|
بمشاركة 800 طالبة.. معهد القرآن الكريم النسوي يختتم برامجه للمتخرجات في الدورات القرآنية الصيفية
|
|
|