no. 3
On some tauberian theorems related to the prime number theorem
Compositio Mathematica, Tome 90 (1994) no. 3, pp. 315-349 
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     volume = {90},
     number = {3},
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     zbl = {0804.11052},
     language = {en},
     url = {https://www.numdam.org/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. https://www.numdam.org/item/CM_1994__90_3_315_0/

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