Supersession history · C-0099

Johnston--Yang's surviving global VK psi decay improves to 0.2043325

This lineage preserves 1 earlier result that led to the current listed result.

Superseded by C-0099 · C-0070 proved-unconditional

Johnston--Yang's global Vinogradov--Korobov psi decay improves to 0.2043

For every real x>=23, |psi(x)-x| is less than 0.026*x*(log x)^1.801 times exp(-0.2043*(log x)^(3/5)/ (log log x)^(1/5)). This preserves Johnston--Yang's amplitude, logarithmic power, and range while replacing their decay 0.1853.

Current result · C-0099 proved-unconditional

Johnston--Yang's surviving global VK psi decay improves to 0.2043325

For every real x>=23, |psi(x)-x| is less than 0.026*x*(log x)^1.801 times exp(-0.2043325*(log x)^(3/5)/ (log log x)^(1/5)). This preserves Johnston--Yang's amplitude, logarithmic power, and range, and strictly improves the live C-0070 decay 0.2043 using only Yang's surviving denominator 51.34.

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