List questions from asymptotics

497

Views

How to prove that $\left(\log \log n\right) \times \left(\log \log \log n\right) = Ω\left(\log n\right)$

Published on 17 Apr 2026 - 7:14

153

Views

Upper bounding a tricky sum

Published on 12 Apr 2026 - 14:08

74

Views

Asymptotic for $\int_{\mathbb{R}}e^{ik(sin x - x)}f(x)\, dx$

Published on 15 Apr 2026 - 20:19

635

Views

Asymptotic behaviour of log log sum

Published on 16 Apr 2026 - 2:36

304

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Bear of an integral

Published on 09 Apr 2026 - 23:38

52

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$\sum_{n \leq x} \frac{1}{n} = \int_{1}^x \frac{dt}{t} + O(1)$ help deriving it

Published on 15 Apr 2026 - 9:27

170

Views

Calulate a limit involving $\zeta{(\zeta{(z)})}$

Published on 13 Apr 2026 - 21:34

40

Views

Simple question, what is meant by 'as $x \to \infty$ the number of squares $\leq x$ is $\sqrt{x} + O(1)$?

Published on 15 Apr 2026 - 7:34

146

Views

For any arithmetic progression $n \in \Bbb{N} : n \equiv b \pmod a$, the natural density is $\frac{1}{a}$?

Published on 15 Apr 2026 - 13:46

49

Views

Simple question about asymptotic notation

Published on 10 Apr 2026 - 23:17

114

Views

oblique asymptote problem

Published on 11 Apr 2026 - 0:52

120

Views

Approximate an integral with Bessel functions

Published on 13 Apr 2026 - 2:13

47

Views

specifying an asymptotic function

Published on 13 Apr 2026 - 15:40

1.1k

Views

Asymptotic of $ \sum_{r=1}^{k} \frac1{r^{3/2}}$ - Generalized Harmonic Number

Published on 13 Apr 2026 - 23:13

74

Views

Does writing $f(x)\sim \ell$ have a sense?

Published on 15 Apr 2026 - 0:12

List Question

How to prove that $\left(\log \log n\right) \times \left(\log \log \log n\right) = Ω\left(\log n\right)$

Upper bounding a tricky sum

Asymptotic for $\int_{\mathbb{R}}e^{ik(sin x - x)}f(x)\, dx$

Asymptotic behaviour of log log sum

Bear of an integral

$\sum_{n \leq x} \frac{1}{n} = \int_{1}^x \frac{dt}{t} + O(1)$ help deriving it

Calulate a limit involving $\zeta{(\zeta{(z)})}$

Simple question, what is meant by 'as $x \to \infty$ the number of squares $\leq x$ is $\sqrt{x} + O(1)$?

For any arithmetic progression $n \in \Bbb{N} : n \equiv b \pmod a$, the natural density is $\frac{1}{a}$?

Simple question about asymptotic notation

oblique asymptote problem

Approximate an integral with Bessel functions

specifying an asymptotic function

Asymptotic of $ \sum_{r=1}^{k} \frac1{r^{3/2}}$ - Generalized Harmonic Number

Does writing $f(x)\sim \ell$ have a sense?

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