Abstract
Using recent explicit asymptotic zero--free region and computations of zeros of the Riemann zeta function, obtained by Mossinghoff & Trudgian and Gourdon, respectively, we give an improvement for estimates of some functions related to distribution of primes, such as prime counting function, intervals containing at least one prime, Chebyshev's $\psi$ and $\vartheta$ functions.
Citation
Sadegh Nazardonyavi. "Improved explicit bounds for some functions of prime numbers." Funct. Approx. Comment. Math. 58 (1) 7 - 22, March 2018. https://doi.org/10.7169/facm/1547
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