stopple
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 Mar19 accepted Mathematics of MC Escher Mar12 comment Mathematics of MC Escher Thanks, this looks very promising! Mar12 awarded Curious Mar11 asked Mathematics of MC Escher Jan5 awarded Nice Answer Dec19 awarded Caucus Oct17 comment zero distribution of the Fourier kernel $\Phi(u)$ for Riemann $\Xi(z)$ function Yes. $\ \ \ \ \$ Oct17 answered zero distribution of the Fourier kernel $\Phi(u)$ for Riemann $\Xi(z)$ function Sep19 answered Does the series $\sum_{n=1}^\infty (-1)^n \frac{\cos(\ln(n))}{n^{\epsilon}},\,\epsilon>0$ converge? Sep10 revised Asymptotics for zeta zeros? added improved asymptotic. Sep8 awarded Yearling Sep7 answered Asymptotics for zeta zeros? Sep5 comment Riemann Zeta Function On Line Re(s)=1 The geometric series is the answer to quite a lot of questions. Sep4 answered Riemann Zeta Function On Line Re(s)=1 May29 awarded Organizer May29 revised Diophantine equation: $2 a^2 + 2 b^2 = c^2 + d^2$ more appropriate tags May29 suggested approved edit on Diophantine equation: $2 a^2 + 2 b^2 = c^2 + d^2$ May29 comment Analytic continuation of Zeta type function In fact, $\Omega(k)$ is not the number of distinct prime factors of $k$; it is the total number of prime factors. E.g., $\Omega(9)=2$. With this adjustment, the OP's identity is correct, as is the answer below. BTW, $(-1)^{\Omega(k)}$ is called Liouville's function, denoted $\lambda(k)$. Apr28 revised What's the generalisation of the quotient rule for higher derivatives? Added parentheses to indicate derivative (v. exponent) Apr28 suggested approved edit on What's the generalisation of the quotient rule for higher derivatives?