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vudu vucu's user avatar
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vudu vucu
  • Member for 9 years, 2 months
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9 votes

Why/How does this sqrt term work? The inverse of a fraction in a sqrt

5 votes

Why is $y^2-x^3\in \mathbb{C}[x,y]$ irreducible?

5 votes

Prove the existence of the square root of $2$.

4 votes

$-1$ is a quadratic residue modulo $p$ if and only if $p\equiv 1\pmod{4}$

4 votes
Accepted

Determine whether or not H is a subgroup of G

4 votes

Find infinitely many n such that $\sigma (n) \le \sigma (n-1)$

3 votes

Intersection multiplicity of projective plane curve and tangent line

3 votes

Prove that if $3\mid a^2+b^2$ then $3\mid a$ and $3\mid b$.

2 votes

$(ab,c) = (a,c)(b,c)$ (weakest condition possible on $a,b,c$)

2 votes

If $x,y$ are integers greater than $1$ and $n$ is a positive integer such that $2^n + 1=xy$ , $\exists 1< a<n$ such that $2^a|x-1$ or $2^a|y-1$?

2 votes

Prove that $6 - \sqrt{2}$ is Irrational by contradiction

2 votes

Prove by induction that $n^3 + 11n$ is divisible by $6$ for every positive integer $n$.

2 votes

Help me proving a property of the determinant

2 votes

Integral $\int\frac{\sin2x+2tanx}{\cos^{6}x+6\cos^{2}x+4}dx$

2 votes

Evaluation of $\int\frac{2a\sin x+b\sin 2x}{(b+a\cos x)^3}dx$

2 votes

Let $a\ne1$ be an nth root of identity, show $1+2a+3a^2+\dots + na^{n-1} = \frac{n}{a-1}$.

2 votes

If $3^2$ divides $2^n-1$, then $n$ must be divisible by $6$

2 votes

What will be the value of $3/1!+5/2!+7/3!+...$?

2 votes

Finite Fields. Why does it involve prime numbers only?

2 votes

Seeking a combinatorial proof ${(n+1)}^{n+1}>{(n+2)}^n$

1 vote

Prove that $\gcd(ab,m) \mid ( \gcd(a,m) *\ gcd(b,m) )$

1 vote

$ HK $ is a subgroup, can we conclude that $H$ or $K$ is normal in $ HK $

1 vote
Accepted

Why may we suppose $a=0$ in this proof?

1 vote

Prove that $a \equiv b \mod{p^j} \iff |a-b|_{p}\leq p^{-j}$

1 vote
Accepted

Proof by induction: $3^n > n^2$ for all integers greater or equal to 1

1 vote

Is $x^6-3$ irreducible over $\mathbb{F}_7$?

1 vote

Prove divisibility: if $a\mid (b-d)$ and $a\mid (c-e)$, then $a\mid (bc-de)$

1 vote

Convergence series problem

1 vote

Under what $p$, $-1$ is a square in $\mathbf F_p$?

1 vote
Accepted

Number of subfields of a given field