List questions from asymptotics

Published on 07 Nov 2018 - 22:36

104

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Asymptotics for $ f(n) = f(n - 1) + f( n - g(n) ) $?

Published on 25 Mar 2026 - 22:30

116

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Tail estimates for the sum $\sum_{n\geq 1} (1/ \varphi(n)^2)$

Published on 08 Nov 2018 - 4:07

22

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Landau asymptotics for a product

Published on 08 Nov 2018 - 12:35

56

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What is the behaviour of $Q^{-3}\sum_{Q<q\le 2Q} \varphi(q^2)$ as $Q\to\infty$?

Published on 08 Nov 2018 - 22:47

471

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Euler-Cauchy Eigenvalue Problem

Published on 09 Nov 2018 - 10:58

70

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Find the leading behavior as $x \to 0+$ of $\int_{0}^1 \frac{e^{-xt}}{1+t^2} dt$

Published on 11 Nov 2018 - 23:42

126

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Integral representation for the solution of a difference equation

Published on 25 Mar 2026 - 15:58

1.7k

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Why is the maximum of i.i.d. Gaussians asymptotically $\sqrt{2 \log n}$?

Published on 25 Mar 2026 - 16:03

38

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Find the leading order behavior of this coupled pair of ODE's

Published on 13 Nov 2018 - 0:17

57

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Proving $\left( 1-\frac{2}{n} \right )^{\frac {n\ln n}{4}}-\left( 1-\frac{1}{n} \right )^{\frac {2n\ln n}{4}}<0$

Published on 13 Nov 2018 - 19:07

1.4k

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The Complexity of "The Baby Shark Song".

Published on 27 Mar 2026 - 7:21

71

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Uniformly approximating $f\in \mathcal{C}([1,\infty))$ with polynomials where $\underset{x\rightarrow +\infty}{\lim} f(x)=a$

Published on 23 Feb 2026 - 1:22

502

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Asymptotic approximation/expansion for arccosine function?

Published on 25 Mar 2026 - 20:41

119

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Asymptotic order

Published on 17 Nov 2018 - 7:18

List Question

Big O notation with -n near zero

Asymptotics for $ f(n) = f(n - 1) + f( n - g(n) ) $?

Tail estimates for the sum $\sum_{n\geq 1} (1/ \varphi(n)^2)$

Landau asymptotics for a product

What is the behaviour of $Q^{-3}\sum_{Q<q\le 2Q} \varphi(q^2)$ as $Q\to\infty$?

Euler-Cauchy Eigenvalue Problem

Find the leading behavior as $x \to 0+$ of $\int_{0}^1 \frac{e^{-xt}}{1+t^2} dt$

Integral representation for the solution of a difference equation

Why is the maximum of i.i.d. Gaussians asymptotically $\sqrt{2 \log n}$?

Find the leading order behavior of this coupled pair of ODE's

Proving $\left( 1-\frac{2}{n} \right )^{\frac {n\ln n}{4}}-\left( 1-\frac{1}{n} \right )^{\frac {2n\ln n}{4}}<0$

The Complexity of "The Baby Shark Song".

Uniformly approximating $f\in \mathcal{C}([1,\infty))$ with polynomials where $\underset{x\rightarrow +\infty}{\lim} f(x)=a$

Asymptotic approximation/expansion for arccosine function?

Asymptotic order

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