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Mathematics
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HGF
  • Member for 7 years, 3 months
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10 Answers

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3 votes

Find the limit $\lim\limits_{s\to0^+}\sum_{n=1}^\infty\frac{\sin n}{n^s}$

2 votes

Proof of the inequality $\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b} \geq \frac{3}{2}$

1 vote

On the conditions of the Implicit Function Theorem

1 vote

$1^\alpha+2^\alpha+3^\alpha+\cdots+n^\alpha$

0 votes

Proving $\left[a_1,\frac{b_1+\sqrt\Delta}2\right]\cdot\left[a_2,\frac{b_2+\sqrt\Delta}2\right]=\left[a_1a_2,\frac{b+\sqrt\Delta}2\right]$

0 votes

If the second homotopy group is trivial, surface integral is independent with surface

0 votes

What is the determinant of Bernoulli matrix?

0 votes

Compute : $1 + 1/3 - 1/2 + 1/5 + 1/7 - 1/4 + 1/9 + \cdots$

0 votes

If $f(x) \in \mathbb{Q}[x]$ is irreducible, then is $f(x^2)$irreducible?

0 votes

Natural density implies Dirichlet density