Question

Best literature for Littlewood's Theorem?

Answer 1

\[\pi(x)>Li(x)+\frac{ 1 }{ 3}\frac{ \sqrt(x) }{ \log(x) }\ln \ln \ln (x)\]

For which values of x is this true?

Answer 2

\[\pi(x)<Li(x)-\frac{ 1 }{ 3 }\frac{ \sqrt(x) }{ \log(x) }lnlnln(x)\]

For which values of x is this true?