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Feller–Tornier constant

From Wikipedia, the free encyclopedia

In mathematics, the Feller–Tornier constant CFT is the density of the set of all positive integers that have an even number of distinct prime factors raised to a power larger than one (ignoring any prime factors which appear only to the first power).[1] It is named after William Feller (1906–1970) and Erhard Tornier (1894–1982)[2]

(sequence A065493 in the OEIS)

Omega function

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The Big Omega function is given by

See also: Prime omega function.

The Iverson bracket is

With these notations, we have

Prime zeta function

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The prime zeta function P is give by

The Feller–Tornier constant satisfies

See also

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References

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  1. ^ "Feller–Tornier Constant – from Wolfram MathWorld". Mathworld.wolfram.com. 2017-03-23. Retrieved 2017-03-30.
  2. ^ Steven R. Finch. "Mathematical Constants. (Cf. Feller–Tornier constant.)". Oeis.org. Retrieved 2017-03-30.