CarmichaelLambda

Notations

Traditional name

Traditional notation

Mathematica StandardForm notation

Primary definition

Specific values

Specialized values

Values at fixed points

General characteristics

Domain and analyticity

λ(n) is a non-analytical function which is defined for integer n.

Symmetries and periodicities

Parity

λ(n) is an even function.

Periodicity

No periodicity

Identities

Functional identities

Representations through equivalent functions

With related functions

Zeros

Other identities

Congruence properties

Theorems

Absolute pseudo-prime number

The number n is an absolute pseudoprime if and only if n mod λ(n)==1.

History

– R. D. Carmichael (1910)

Copyright