Landau's function [SEP] named after
Landau's function
In mathematics, Landau's function "g"("n"), named after Edmund Landau, is defined for every natural number "n" to be the largest order of an element of the symmetric group "S". Equivalently, "g"("n") is the largest least common multiple (lcm) of any partition of "n", or the maximum number of times a permutation of "n" elements can be recursively applied to itself before it returns to its starting sequence.
For instance, 5
to mathematics than Landau.
Translated works.
- "Foundations of Analysis", Chelsea Pub Co. .
- "Differential and Integral Calculus", American Mathematical Society. .
- "Elementary Number Theory", American Mathematical Society. .
See also.
- Landau's function
- Landau prime ideal theorem
- Landau's problems
- Landau's symbol (Big O notation)
- Landau–Kolmogorov inequality
- Landau–Ramanujan constant
- Landau's problem on the Dirichlet eta function