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== wè tou ==
== wè tou ==
*http://en.wikipedia.org/wiki/Lhermite_models
*http://ht.wikipedia.org/wiki/Fonksyon_ki_konte_kantite_nonm_premye_jimo_yo
*http://ht.wikipedia.org/wiki/Fonksyon_ki_konte_kantite_nonm_premye_jimo_yo
Vèsyon jou 14 avril 2013 à 20:46
Fonksyon
τ
{\displaystyle \tau }
ki kantite divizè positif yon antye pozitif ( cf : Approche Élémentaire de l'Étude des Fonctions Arithmétiques : A. Mercier et J. M. De Koninck )
τ
(
n
)
=
∑
d
|
n
1
{\displaystyle \tau \left(n\right)=\sum _{d|n}1}
Ekpresyon fonksyon
τ
{\displaystyle \tau }
selon Lainé Jean Lhermite Junior
τ
(
n
)
=
∑
i
=
1
n
[
[
n
i
]
(
n
i
)
]
{\displaystyle \tau \left(n\right)=\sum _{i=1}^{n}{\left[{\frac {\left[{\frac {n}{i}}\right]}{\left({\frac {n}{i}}\right)}}\right]}}
τ
(
n
)
=
−
∑
i
=
1
n
[
n
i
−
[
n
i
]
]
{\displaystyle \tau \left(n\right)=-\sum _{i=1}^{n}{\left[{\frac {n}{i}}-\left[{\frac {n}{i}}\right]\right]}}
τ
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n
)
=
∑
i
=
1
n
|
[
n
i
−
[
n
i
]
]
|
{\displaystyle \tau \left(n\right)=\sum _{i=1}^{n}{\left|\left[{\frac {n}{i}}-\left[{\frac {n}{i}}\right]\right]\right|}}
τ
(
n
)
=
|
∑
i
=
1
n
[
n
i
−
[
n
i
]
]
|
{\displaystyle \tau \left(n\right)=\left|\sum _{i=1}^{n}{\left[{\frac {n}{i}}-\left[{\frac {n}{i}}\right]\right]}\right|}
wè tou