Happy birthday, Ramanujan!
Number Theory
Level
4
\[A=\sum_{d|1729!}\frac{\mu^2(d)}{\phi(d)}, \hspace {15 mm} B=\frac{1729!}{\phi(1729!)}\]
Find the relationship between \(A\) and \(B\).
Notations
\( \mu(d) \) denotes the Möbius function.
\(\phi(d) \) denotes the Euler's totient function.
by
Otto Bretscher