Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

Let $g$ be an arithmetic function satisfying

$\sum_{d|n} g(d) = \frac{n-1}{n+1}$

Find $g(24)$

I have a feeling moebius inversion is going to be used.

Really I am just not sure what this is looking for. I don't know how to interpret $g(24)$

share|improve this question
1  
Your feeling is right. What do you intend to do about it? –  vonbrand Mar 4 at 2:02
    
Haven't the foggiest. I really dont know what I am looking for. –  Skuttle_Butt Mar 4 at 2:05
1  
Check Wikipedia, where all truths (and all lies) are recorded. –  vonbrand Mar 4 at 2:11
1  
Going through all the motions I got $\frac{-5686}{2925}$ –  Skuttle_Butt Mar 4 at 3:03
    
Then publish the details as an answer to your own question, wait a bit for any critics to come out of the woodwork, and if nothing better shows up, accept your answer. –  vonbrand Mar 4 at 12:45
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.