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On some tauberian theorems related to the prime number theorem
Compositio Mathematica, Tome 90 (1994) no. 3, pp. 315-349 Cet article a éte moissonné depuis la source Numdam

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@article{CM_1994__90_3_315_0,
     author = {Hildebrand, A. and Tenenbaum, G.},
     title = {On some tauberian theorems related to the prime number theorem},
     journal = {Compositio Mathematica},
     pages = {315--349},
     year = {1994},
     publisher = {Kluwer Academic Publishers},
     volume = {90},
     number = {3},
     mrnumber = {1272104},
     zbl = {0804.11052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CM_1994__90_3_315_0/}
}
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Hildebrand, A.; Tenenbaum, G. On some tauberian theorems related to the prime number theorem. Compositio Mathematica, Tome 90 (1994) no. 3, pp. 315-349. http://geodesic.mathdoc.fr/item/CM_1994__90_3_315_0/