Elementary proofs of statements equivalent to the prime number theorem
Portugaliae mathematica, Tome 35 (1976) no. 1, pp. 41-59.

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     author = {Guerin, E.E. and Buschman, R.G.},
     title = {Elementary proofs of statements equivalent to the prime number theorem},
     journal = {Portugaliae mathematica},
     pages = {41--59},
     publisher = {mathdoc},
     volume = {35},
     number = {1},
     year = {1976},
     mrnumber = {0429713},
     zbl = {0382.10028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PORMA_1976__35_1_115275/}
}
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Guerin, E.E.; Buschman, R.G. Elementary proofs of statements equivalent to the prime number theorem. Portugaliae mathematica, Tome 35 (1976) no. 1, pp. 41-59. http://geodesic.mathdoc.fr/item/PORMA_1976__35_1_115275/