number-theory / Number Theory, Multiplicative
If $A(x)$ counts integers satisfying the Sylow divisor condition, determine the constant $c$ in $A(x)/x = \exp(-(c + o(1)) \sqrt{\log x} \log\log x)$. The claimed exact value is $c = 1/(2\sqrt{\log 2})$.
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If $A(x)$ counts integers satisfying the Sylow divisor condition, determine the constant $c$ in $A(x)/x = \exp(-(c + o(1)) \sqrt{\log x} \log\log x)$. The claimed exact value is $c = 1/(2\sqrt{\log 2})$.
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If $A(x)$ counts integers satisfying the Sylow divisor condition, determine the constant $c$ in $A(x)/x = \exp(-(c + o(1)) \sqrt{\log x} \log\log x)$. The claimed exact value is $c = 1/(2\sqrt{\log 2})$.
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