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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?

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

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