Lior B-S's user avatar
Lior B-S's user avatar
Lior B-S's user avatar
Lior B-S
  • Member for 12 years, 1 month
  • Last seen more than 2 years ago
31 votes

Fun but serious mathematics books to gift advanced undergraduates.

17 votes
Accepted

How to find number of prime numbers between two integers

11 votes

Prove that $ f(x) $ has at least two real roots in $ (0,\pi) $

8 votes
Accepted

What can be said about the Galois group of $f(g(x))$?

8 votes
Accepted

Question about inverse Galois problem

8 votes
Accepted

Showing $[\mathbb{Q}(\sqrt[4]{2},\sqrt{3}):\mathbb{Q}]=8$.

7 votes
Accepted

Prove $\lim \limits_{x \to\infty } \frac{f(x)}{x}=0$ and $f$ differentiable implies $ \lim \limits_{x \to\infty } \inf |f'(x)|=0 $

6 votes

A polynomial whose Galois group is $D_8$

6 votes

How can we find this limit $\lim_{n\to\infty \\x\to\infty}f^n(x)$?

5 votes

Example of algebraic field not honoring the Total Order relation?

4 votes

Why can't there be a quintic formula?

4 votes

Divergence of a simple improper integral $\int_{0}^{\infty} \ln \left(\frac{x+2}{x+1} \right)dx$

4 votes

2013th derivative of a trigonometric function

4 votes
Accepted

$F/K$ algebraic and every nonconstant polynomial in $K[X]$ has a root in $F$ implies $F$ is algebraically closed.

3 votes
Accepted

Constructing a polynomial with rational coefficients which shares at least one root with a polynomial with algebraic coefficients in n variables.

3 votes
Accepted

Linear independence of Galois conjugates

3 votes
Accepted

Zero divisors of $\mathbb{Z}_{7}[x] / (x^4+x^3-3)$ and inverse element of $\overline{x+1}$

3 votes

distribution of digits in prime numbers

3 votes
Accepted

For $f(n)$ find a simple $g(n)$ such that $f(n)=\Theta(g(n))$

2 votes

irreducibility of polynomials with integer coefficients

2 votes

Question on limit: $\lim_{x\to 0}\large \frac{\sin^2{x^{2}}}{x^{2}}$

2 votes

need to show $F(x)=\int_{0}^{x}f(t) dt$ is periodic with period $p$ iff $\int_{0}^{p}f(t)dt=0$

2 votes

ring automorphism $\mathbb Q[x]\rightarrow \mathbb Q[x]$

2 votes
Accepted

$\Bbb Q(a, \sqrt{\vartriangle(f)})$ is a splitting field in this case.

2 votes

Ideals of the ring $\mathbb{F}_q[X]/(X^n-1)$

2 votes
Accepted

limit computation $\lim_{n\rightarrow \infty}\frac{\ln (1+n^{3})-\ln(n^{6})}{\sin ^{3}(n)} $.

2 votes

Galois extension preserves irreducibility

2 votes

Subgroups of finite Abelian groups

2 votes

A question about Lang's explanation of ordered fields on pg 449

1 vote

$K \le B\le F$, If $F$ Galois over $K$ $\Rightarrow$ $F$ a Galois over $B$