New bounds for π(x)

نویسندگان

  • Laura Faber
  • Habiba Kadiri
چکیده

In this article we provide new explicit Chebyshev’s bounds for the prime counting function ψ(x). The proof relies on two new arguments: smoothing the prime counting function which allows to generalize the previous approaches, and a new explicit zero density estimate for the zeros of the Riemann zeta function.

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عنوان ژورنال:
  • Math. Comput.

دوره 84  شماره 

صفحات  -

تاریخ انتشار 2015