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Jun
2
comment Showing existence of an element with order $p$
Sorry, I was referring to how I need to pick that $a$ such that the order is one of $p^1, \dots, p^n$.
Jun
2
comment Find all positive integers $x$ such that $13 \mid (x^2 + 1)$
Is there a general form of the first sentence you stated?
Jun
2
accepted Find all positive integers $x$ such that $13 \mid (x^2 + 1)$
Jun
2
revised Find all positive integers $x$ such that $13 \mid (x^2 + 1)$
added 39 characters in body
Jun
2
asked Find all positive integers $x$ such that $13 \mid (x^2 + 1)$
Jun
2
comment Showing existence of an element with order $p$
Do you mind explaining further? I'm still not sure what to do.
Jun
2
accepted Showing existence of an element with order $p$
May
29
asked Showing existence of an element with order $p$
May
27
accepted Proving $\sum_{m=0}^M \binom{m+k}{k} = \binom{k+M+1}{k+1}$
May
27
comment Proving $\sum_{m=0}^M \binom{m+k}{k} = \binom{k+M+1}{k+1}$
but $r$ is indexed
May
27
comment Proving $\sum_{m=0}^M \binom{m+k}{k} = \binom{k+M+1}{k+1}$
In my text, I have an identity $\sum_{r\geq 0} \binom{r + n}{r} x^r = 1/(1-x)^{n+1}$ This may be the cause of my confusion, but is this identity correct and is it equivalent to the one you used?
May
27
comment Proving $\sum_{m=0}^M \binom{m+k}{k} = \binom{k+M+1}{k+1}$
Is there a typo in the second equation (first sum)? I believe $k$ should be indexed.
May
26
comment Finding the values of $z$ s.t. $\sum_{n=0}^{\infty} \left( \frac{z}{1+z} \right)^n$ is convergent
yeah, I got the same thing, but I just didn't express the final step like that. Does it matter though?
May
26
accepted Finding the values of $z$ s.t. $\sum_{n=0}^{\infty} \left( \frac{z}{1+z} \right)^n$ is convergent
May
26
comment Finding the values of $z$ s.t. $\sum_{n=0}^{\infty} \left( \frac{z}{1+z} \right)^n$ is convergent
$z > 1-\bar{z}$?
May
26
revised Finding the values of $z$ s.t. $\sum_{n=0}^{\infty} \left( \frac{z}{1+z} \right)^n$ is convergent
edited tags
May
26
asked Finding the values of $z$ s.t. $\sum_{n=0}^{\infty} \left( \frac{z}{1+z} \right)^n$ is convergent
May
22
asked Proving $\sum_{m=0}^M \binom{m+k}{k} = \binom{k+M+1}{k+1}$
May
19
awarded  Constituent
May
19
asked Proving that $X$ is a subgroup of $G$