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count it

Posted: Sun Jan 06, 2013 4:15 pm
by Rafe
$\frac{n+y}{n}$ is an integer for some integer value of $n$ while $y$ is an integer.find the summation of the value of all $n$

Re: count it

Posted: Sun Jan 06, 2013 10:24 pm
by SANZEED
Write $\frac{n+y}{n}=1+\frac{y}{n}$ so $n$ must divide $y$. Thus sum of the values of all $n$ is actually the sum of divisors of $y$. :|

Re: count it

Posted: Mon Jan 07, 2013 11:32 am
by Phlembac Adib Hasan
@ SANZEED, Rafe has said $n\in Z$, not $n\in N$.
If $a$ divides $y$, then $-a$ also divides $y$. Hence summation of all values of $n$ is $0$.

In my pc, I am not seeing \mathbb characters. Is it happening also to you? If is, then I think the file 'AMSmath.js' has been damaged in this server. We should inform it to Moon Vai immediately.

Re: count it

Posted: Mon Jan 07, 2013 2:04 pm
by *Mahi*
Phlembac Adib Hasan wrote:In my pc, I am not seeing \mathbb characters. Is it happening also to you? If is, then I think the file 'AMSmath.js' has been damaged in this server. We should inform it to Moon Vai immediately.
No, all \mathbb symbols are loading alright in my PC. You might try clearing your jsMath cache.

Re: count it

Posted: Tue Jan 08, 2013 1:35 pm
by Phlembac Adib Hasan
Thanks. It helped.