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Bibliography

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P. L. Tschebyschef, Mémoire sur les nombres premiers, J. Math. Pures Appl. series 1, vol. 17 (1852) pp. 366-390.

[2]

J. J. Sylvester, On Tschebyschef's theorem of the totality of prime numbers comprised within given limits, Amer. J. Math. vol. 4 (1881) pp. 230-247. MR 1505291

[3]

E. Landau, Handbuch der Lehre von der Verteilung der Primzahlen, Leipzig, 1909.

[4]

H. N. Shapiro, On the number of primes less than or equal to , Proc. Amer. Math. Soc. vol. 1 (1950) pp. 346-348. MR 0036260 (12:80j)

[5]

A. E. Ingham, Some Tauberian theorems connected with the prime number theorem, J. London Math. Soc. vol. 20 (1945) pp. 171-180. MR 0017392 (8:147i)

[6]

E. Trost, Primzahlen, Basel, 1953. MR 0058630 (15:401g)

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A. Selberg, An elementary proof of the prime number theorem, Ann. of Math. vol. 50 (1949) pp. 305-313. MR 0029410 (10:595b)

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E. Landau, Über den Zusammenhang einiger neuerer Sätze der analytischen Zahlentheorie, Wiener Sitzungsberichte, Math. Klasse, vol. 115 (1906) pp. 589-632.

[9]

P. Erdös, On a new method in elementary number theory which leads to an elementary proof of the prime number theorem, Proc. Nat. Acad. Sci. U.S.A. vol. 35 (1949) pp. 374-384. MR 0029411 (10:595c)