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Lhermite's models

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Lhermite's models are interesting ways to synthesize various objects that are apparently scattered.

Prime numbers and the model of three arrows

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with and



Red balls and blue balls and prime numbers

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Red balls and blue balls and prime numbers according to Wilson's theorem

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Prime numbers and the model of three arrows according to Wilson's theorem

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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

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Liouville's function and Lhermite's models

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Three Arrows or Jonatan's Arrows

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There are three possibilities : or or . In the same way , there are three possibilities : or or

with

References

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See also

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