totient
A totient is a sequence such that
for some two completely multiplicative sequences and , where denotes the convolution product (or Dirichlet product; see multiplicative function).
The term ‘totient’ was introduced by Sylvester in the 1880’s, but is seldom used nowadays except in two cases. The Euler totient satisfies
where denotes the function (which is completely multiplicative). The more general Jordan totient is defined by
Title | totient |
---|---|
Canonical name | Totient |
Date of creation | 2013-03-22 13:38:35 |
Last modified on | 2013-03-22 13:38:35 |
Owner | mathcam (2727) |
Last modified by | mathcam (2727) |
Numerical id | 5 |
Author | mathcam (2727) |
Entry type | Definition |
Classification | msc 11A25 |
Defines | totient |
Defines | Jordan totient |