New bounds for π(x)
نویسندگان
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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ورودعنوان ژورنال:
- Math. Comput.
دوره 84 شماره
صفحات -
تاریخ انتشار 2015