Abstract
At the turn of the century, Hadamard and de la Vallee Poussin independently gave a proof of the prime number theorem, exploiting the theory of entire functions which had been developed by Hadamard. Here we shall give D. J. Newman’s proof, which is much shorter. I have also benefited from Korevaar’s exposition.
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Reference
D. J. Newman, Simple analytic proof of the prime number theorem, Amer. Math. Monthly 87 (1980) pp. 693–696
J. Korevaar, On Newman’s Quick Way to the Prime Number Theorem, Math. Intell Vol. 4 No. 3 (1982) pp. 108–115
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© 1993 Springer Science+Business Media New York
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Lang, S. (1993). The Prime Number Theorem. In: Complex Analysis. Graduate Texts in Mathematics, vol 103. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59273-7_16
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DOI: https://doi.org/10.1007/978-3-642-59273-7_16
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