Problem 2

Number Theory Level 2

Find μ ( 24 ) \mu (24) .

Details & Assumptions : μ \mu refers to the Möbius Function .

This problem is from the set The Möbius Function .


The answer is 0.

Ameya Salankar by Ameya Salankar , 23, India

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1 solution

Ameya Salankar
Apr 15, 2014

By the definition of The Möbius Function,

μ ( 24 ) = 0 \mu (24) = 0 , since 2 2 = 4 ∣ 24 2^2 = 4 | 24 .

2 Helpful 0 Interesting 0 Brilliant 0 Confused

First try -1 then try 0 then 1 Question Solved

Harsh Depal - 7 years, 1 month ago

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@Harsh Depal , great idea! lol!

Ameya Salankar - 7 years, 1 month ago

Rather, first try 0, Question solved ;)

Himanshu Arora - 7 years ago

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