Connection to the Totient Function
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\frac{\zeta(s-1)}{\zeta(s)}=\sum_{n\equal1}^{\infty}\frac{\phi(n)}{n^s}
It should not be surprising that a function closely related to prime numbers is linked to the Riemann Zeta function; however, this formula involving the Euler Totient Function is rarely found in textbooks.
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