Vinogradov and Korobov independently proved in 1958 that $$\pi(x)=\text{Li}(x)+O\left(x\exp\left(-A\frac{(\log x)^{3/5}}{(\log\log x)^{1/5}}\right)\right),$$ for some positive constant $A$. Both of their original papers are in Russian and Davenport referenced a German book. Is there an exposition of this result in English?
2026-04-22 20:53:42.1776891222
Vinogradov-Korobov prime number theorem error term (in English)
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