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OpenStudy (hitaro9):
Mobius Inversion Formula?
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OpenStudy (hitaro9):
Use the fact that the sum (d|n) ph (n) = n and the mobius inversion to show that
OpenStudy (hitaro9):
phi(p^m) = p^m-p^m-1 where p is an odd prime
OpenStudy (hitaro9):
|dw:1427703979386:dw|
OpenStudy (hitaro9):
Where phi is the euler phi-function
OpenStudy (hitaro9):
I've seen proofs online, but none use the mobius inversion formula
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OpenStudy (hitaro9):
|dw:1427704167263:dw|
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