List questions from asymptotics

Published on 29 May 2019 - 9:16

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Big O problem $2^n$ and $n^2$

Published on 30 May 2019 - 3:28

56

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How likely is it for the polynomial obtained from a base-$b$ expansion of $n$ to be reducible?

Published on 30 May 2019 - 4:22

401

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Asymptotic Expansion for $\frac1{2^n}\sum_{k=1}^n\frac1{\sqrt{k}}\binom{n}{k}$

Published on 27 Mar 2026 - 0:05

651

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Asymptotic expansion of $u_{n + 1} = \frac12 \arctan(u_n)$

Published on 31 May 2019 - 17:52

696

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Approximation of $x\log x$

Published on 27 Mar 2026 - 23:39

262

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How to prove that$\sum_{n\le x}(\psi(\frac xn)-\vartheta(\frac xn))\Lambda (n)=O (x) $

Published on 01 Jun 2019 - 8:04

95

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How fast this sequence converges to $1$?

Published on 01 Jun 2019 - 11:07

250

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Contour Integration of product of cube roots

Published on 25 Mar 2026 - 1:37

82

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Intuition behind $o$ and $O$ notation

Published on 31 Mar 2026 - 5:10

1.6k

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Asymptotic distribution of MLE of $\theta$ for the pdf $f(x)=\frac{\theta}{(1+x)^{\theta+1}}$

Published on 25 Mar 2026 - 12:50

39

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Find the simplest Big O estimate for this log function?

Published on 03 Jun 2019 - 19:09

456

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Sum involving incomplete beta functions

Published on 25 Mar 2026 - 18:04

38

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For the following function, find a function as simple as possible that reflects its asymptotic behavior

Published on 04 Jun 2019 - 5:59

537

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How to find asymptotic form of polynomial function?

Published on 25 Mar 2026 - 7:59

List Question

What is $f(\phi)$ evaluated for the first $n$ terms?

Big O problem $2^n$ and $n^2$

How likely is it for the polynomial obtained from a base-$b$ expansion of $n$ to be reducible?

Asymptotic Expansion for $\frac1{2^n}\sum_{k=1}^n\frac1{\sqrt{k}}\binom{n}{k}$

Asymptotic expansion of $u_{n + 1} = \frac12 \arctan(u_n)$

Approximation of $x\log x$

How to prove that$\sum_{n\le x}(\psi(\frac xn)-\vartheta(\frac xn))\Lambda (n)=O (x) $

How fast this sequence converges to $1$?

Contour Integration of product of cube roots

Intuition behind $o$ and $O$ notation

Asymptotic distribution of MLE of $\theta$ for the pdf $f(x)=\frac{\theta}{(1+x)^{\theta+1}}$

Find the simplest Big O estimate for this log function?

Sum involving incomplete beta functions

For the following function, find a function as simple as possible that reflects its asymptotic behavior

How to find asymptotic form of polynomial function?

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