Fonksyon lanmbda Liouville

Fonksyon Lanmbda Liouville lye avèk fonksyon Omega

Fonksyon $Ω$

$Ω (n) = α_{1} + α_{2} + . . . . . + α_{i} + . . . . . . + α_{r - 1} + α_{r}$
si

$n = {(p_{1})}^{α_{1}} \times {(p_{2})}^{α_{2}} \times . . . . . {(p_{i})}^{α_{i}} \times . . . . . \times {(p_{r - 1})}^{α_{r - 1}} \times {(p_{r})}^{α_{r}}$

Fonksyon Liouville

$λ (n) = {(- 1)}^{(α_{1} + α_{2} + . . . . . + α_{i} + . . . . . . + α_{r - 1} + α_{r})}$
si

$n = {(p_{1})}^{α_{1}} \times {(p_{2})}^{α_{2}} \times . . . . . {(p_{i})}^{α_{i}} \times . . . . . \times {(p_{r - 1})}^{α_{r - 1}} \times {(p_{r})}^{α_{r}}$

Ekspresyon fonksyon $λ$ Liouville selon Lainé Jean Lhermite Junior

$λ (n) = {(- 1)}^{(\sum_{j = 1}^{n} (\sum_{i = 1}^{n} ([\frac{[\frac{n}{i^{j}}]}{(\frac{n}{i^{j}})}] \times (1 - [\frac{[\frac{{(i!)}^{2}}{i^{3}}]}{\frac{{(i!)}^{2}}{i^{3}}}]))))}$

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Fonksyon lanmbda Liouville

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