On Newman's Theorem Quick Way to the Prime Number
نویسنده
چکیده
was surmised already by Legendre and Gauss. However, it took a hundred years before the first proofs appeared, one by Hadamard and one by de la Vall~e Poussin (1896). Their and all but one of the subsequent proofs make heavy use of the Riemann zeta function. (The one exception is the long so-called elementary proof by Selberg [11] and Erd6s [41.) For Re s > 1 the zeta function is given by the Dirichlet series ~'(s) = ~ I ~
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تاریخ انتشار 2009