A Generalization of the Erdös-Kac Theorem and its Applications
Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 589-606

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We axiomatize the main properties of the classical Erdös-Kac Theorem in order to apply it to a general context. We provide applications in the cases of number fields, function fields, and geometrically irreducible varieties over a finite field.
DOI : 10.4153/CMB-2004-057-4
Mots-clés : 11N60, 11N80
Liu, Yu-Ru. A Generalization of the Erdös-Kac Theorem and its Applications. Canadian mathematical bulletin, Tome 47 (2004) no. 4, pp. 589-606. doi: 10.4153/CMB-2004-057-4
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     author = {Liu, Yu-Ru},
     title = {A {Generalization} of the {Erd\"os-Kac} {Theorem} and its {Applications}},
     journal = {Canadian mathematical bulletin},
     pages = {589--606},
     year = {2004},
     volume = {47},
     number = {4},
     doi = {10.4153/CMB-2004-057-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2004-057-4/}
}
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