List questions from asymptotics

Published on 23 Apr 2026 - 1:20

106

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solutions to $x = \sqrt{a+\sqrt{a+\sqrt{a+\cdots}}}\;\;(\text{mod}\;p)$

Published on 12 Apr 2026 - 0:10

169

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What proportion of natural numbers are of the form $(n^2-1)/24$ for some $n\in\Bbb N$?

Published on 15 Apr 2026 - 7:01

120

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On Asymptotic Expansions: An Example

Published on 17 Apr 2026 - 22:32

94

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Iterating $\tanh(A x)$ and $\lim_{x \to +\infty} \tanh^{[r]}(A x) = C_r$?

Published on 13 Apr 2026 - 22:33

24

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Equivalent Condition of Asympotic Stability of Positive Linear System

Published on 13 Apr 2026 - 21:17

72

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Estimation consistency of the largest eigenvalue and its corresponding eigenvector of the estimated matrix

Published on 14 Apr 2026 - 18:37

75

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Prove $n+n^{c}\log n^{c}+1 \in O(n)$ for some $c<1$

Published on 25 Mar 2026 - 19:05

80

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$a_1>0$ and $a_{n+1}=\ln{(a_n+1)}$. Where is the largest term of the sequence $na_n$?

Published on 23 Apr 2026 - 15:56

97

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Estimate the principal term of the asymptotic integral $\int\limits_{-1}^{1}\cos (kx)e^{i\lambda |x|}dx,\lambda \to \infty $

Published on 13 Apr 2026 - 8:58

54

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How to do this perturbation expansion?

Published on 11 Apr 2026 - 11:37

30

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Calculate algorithmic complexity of my code

Published on 15 Apr 2026 - 6:20

469

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You have $n$ rectangles of area $1$ (and variable height). Pack as many as possible in a semicircle of area $n$. How many leftovers will there be?

Published on 15 Apr 2026 - 12:14

32

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prove $f + g ∈ Θ(max(f, g))$

Published on 16 Apr 2026 - 18:48

159

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Asymptotic expansion of a hypergeometric function

Published on 10 Apr 2026 - 14:40

List Question

Asymtotic of some binomial sum

solutions to $x = \sqrt{a+\sqrt{a+\sqrt{a+\cdots}}}\;\;(\text{mod}\;p)$

What proportion of natural numbers are of the form $(n^2-1)/24$ for some $n\in\Bbb N$?

On Asymptotic Expansions: An Example

Iterating $\tanh(A x)$ and $\lim_{x \to +\infty} \tanh^{[r]}(A x) = C_r$?

Equivalent Condition of Asympotic Stability of Positive Linear System

Estimation consistency of the largest eigenvalue and its corresponding eigenvector of the estimated matrix

Prove $n+n^{c}\log n^{c}+1 \in O(n)$ for some $c<1$

$a_1>0$ and $a_{n+1}=\ln{(a_n+1)}$. Where is the largest term of the sequence $na_n$?

Estimate the principal term of the asymptotic integral $\int\limits_{-1}^{1}\cos (kx)e^{i\lambda |x|}dx,\lambda \to \infty $

How to do this perturbation expansion?

Calculate algorithmic complexity of my code

You have $n$ rectangles of area $1$ (and variable height). Pack as many as possible in a semicircle of area $n$. How many leftovers will there be?

prove $f + g ∈ Θ(max(f, g))$

Asymptotic expansion of a hypergeometric function

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