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Aug
27
comment How to show $\binom{2n}{n} \ge \prod_{n < p \le 2n} p $?
That's what I wrote.
Aug
27
comment How to show $\binom{2n}{n} \ge \prod_{n < p \le 2n} p $?
Well this is quite a well known result so has probably been found somewhere else and copied.
Aug
27
answered How to show $\binom{2n}{n} \ge \prod_{n < p \le 2n} p $?
Aug
18
awarded  Popular Question
Aug
9
comment How to prove that this new set of vectors form a basis?
I didn't...it was just notation.
Aug
9
answered How to prove that this new set of vectors form a basis?
Aug
9
comment How to prove that this new set of vectors form a basis?
...also this is not true over a field of characteristic $2$!
Aug
9
comment How to prove that this new set of vectors form a basis?
This is a bit sloppy, $x_1,x_2$ are fixed vectors, they can't be set equal to $0$.
Aug
6
asked Compact modulo center
Jul
26
answered Why is it that with quaternions $ij \neq ji$?
Jul
9
comment Understanding $SL_3(D)$ where D is a central division algebra
Isn't this just using the fact that if D is a quaternion algebra over K then D embeds in M_2(K(rt(d)))? (Where d is the value of j^2).
Jul
8
comment What shall I write for a reason for applying graduate school for algebraic geometry?
If you feel you don't know what it is then why do you wish to study it? (Also I am not sure about your statement about FLT, yes certain tools from AG were used but so were many other tools!).
Jul
7
revised Representations of $\mathbb{H}^{\times}$ and $\mathbb{H}^{\times}/\mathbb{R}^{\times}$.
added 5 characters in body
Jul
7
asked Representations of $\mathbb{H}^{\times}$ and $\mathbb{H}^{\times}/\mathbb{R}^{\times}$.
Jul
2
comment Is there a connection between lattices in the sense of orders and lattices in the sense of groups?
I think it is easy to see a word in different places in maths and wonder if there is a reason for it. However sometimes you just have to accept that things are named by "intuitive description". All of the things you mention look like "lattices" in some sense but not necessarily in the exact same sense.
Jul
2
revised Solve $x^n+z^n=(x+1)^n$ for $n\ge 3$ without FLT
edited title
Jun
1
comment Is there a counterexample? $\forall\ p \gt 3 \in \Bbb P, (number\ of\ Quadratic\ Residues\ mod\ kp)=p\ when\ k\in\{2,3\}$
Have you tried the same for $4p$? It should still work since there are exactly two squares mod $4$. However the result will not work for $kp$ if $k>4$ since there are definitely more than $2$ squares mod $k$ ($0,1,4,...$).
Jun
1
comment Is there a counterexample? $\forall\ p \gt 3 \in \Bbb P, (number\ of\ Quadratic\ Residues\ mod\ kp)=p\ when\ k\in\{2,3\}$
Yes, which is what was said in Asvin's answer. It is just a consequence of the CRT.
May
29
answered Is there a counterexample? $\forall\ p \gt 3 \in \Bbb P, (number\ of\ Quadratic\ Residues\ mod\ kp)=p\ when\ k\in\{2,3\}$
May
29
comment Lower bounds on the index of $\mathbf Z[X]/(P)$ in the ring of integers of a number field
If $P$ is a rational polynomial then it doesn't necessarily lie in $\mathbb{Z}[X]$...so what is the quotient $\mathbb{Z}[X]/(P)$?