Arithmetic function: Difference between revisions

Revision as of 09:56, 23 October 2003

Revision as of 11:17, 9 December 2003

Line 1:

[[ko:수론적 함수]]

[[sl:aritmetična funkcija]]

[[sv:aritmetisk funktion]]

In [[number theory]], an '''arithmetic function''' (or '''number-theoretic function''') ''f''(''n'') is a [[function]] defined for all positive [[integer|integers]] and having values in the [[complex number|complex numbers]]. In other words: an arithmetic function is nothing but a [[sequence]] of complex numbers.

Line 22 ⟶ 18:

* π (''n''), the [[Prime number theorem|Prime counting function]] - the number of [[prime number|primes]] less than or equal to a given number ''n''. We have π(1) = 0 and π(10) = 4 (the primes below 10 being 2, 3, 5, and 7).

[[ko:수론적 함수]] [[sl:Aritmetična funkcija]] [[sv:Aritmetisk funktion]]