Lhermite's models
Jump to navigation
Jump to search
Lhermite's models are interesting ways to synthesize various objects that are apparently scattered.
Prime numbers and the model of three arrows[edit | edit source]
with and
Red balls and blue balls and prime numbers[edit | edit source]
Red balls and blue balls and prime numbers according to Wilson's theorem[edit | edit source]
Prime numbers and the model of three arrows according to Wilson's theorem[edit | edit source]
in the same way, it is advanced that
It's very evident that
Therefore, according to Lhermite's models and Wilson's theorem, there are two evident theorems :
Therefore the following relation becomes true :
Let's choose one of the formulas that are indicated in the first section :
let's replace
and
Therefore an equivalent expression is :
Function Ω according to Lhermite's models[edit | edit source]
Liouville's function and Lhermite's models[edit | edit source]
Three Arrows or Jonatan's Arrows[edit | edit source]
There are three possibilities : or or . In the same way , there are three possibilities : or or
with
References[edit | edit source]
See also[edit | edit source]