studying the integral equation:(adsbygoogle = window.adsbygoogle || []).push({});

log(R(s)/s=Int(0,infinite)Pi(x)/x(x**s-1) and derivating and itegrating i have got to set an integral equation for dPi(x)/dx but now i wuld like to know if dPi(x)/dx could be expanded into a series of eigenfunctions of the kernel so we could solve it....in fact

dPi(n)/dn=(for big n)=1/l(x)-1/Ln(x)Ln(x) ubt i do not know if this will be enough.

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# More about Pi(x) and its derivatives

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