Hi,(adsbygoogle = window.adsbygoogle || []).push({});

The divisor summatory function, [tex]D(x)[/tex], can be obtained from [tex]\zeta^{2}(s)[/tex] by [tex]D(x)=\frac{1}{2 \pi i} \int_{c-i \infty}^{c+i \infty}\zeta^{2}(w)\frac{x^{w}}{w}dw[/tex] and I was trying to express [tex]\zeta^{2}(s)[/tex] in terms of [tex]D(x)[/tex] but I didnt succeed, could someone help?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Square of the Riemann zeta-function in terms of the divisor summatory function.

**Physics Forums | Science Articles, Homework Help, Discussion**