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
The Big Omega function is given by
See also: Prime omega function.
The Iverson bracket is
With these notations, we have
Prime zeta function
The prime zeta function P is give by
The Feller–Tornier constant satisfies
See also
- Riemann zeta function
- L-function
- Euler product
- Twin prime
References
- ^ "Feller–Tornier Constant – from Wolfram MathWorld". Mathworld.wolfram.com. 2017-03-23. Retrieved 2017-03-30.
- ^ Steven R. Finch. "Mathematical Constants. (Cf. Feller–Tornier constant.)". Oeis.org. Retrieved 2017-03-30.