List questions from asymptotics

Published on 12 Apr 2026 - 21:35

30

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Extreme case bounds on Diophantine approximation

Published on 14 Apr 2026 - 5:18

56

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Asymptotic growth of number of ways to distribute $10$ balls into boxes

Published on 14 Apr 2026 - 8:53

65

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Why is $\log(\log^(n)) = Ω(\log^\log(n))$ is true while $\log^\log n$ is bigger than $\log \log^n$?

Published on 16 Apr 2026 - 22:12

81

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Expected Length of Maximum Decreasing Subsequences in Random Sequences

Published on 13 Apr 2026 - 19:05

120

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Laplace's method on $\int_0^\infty x^m\exp \left( - \frac{(x - \mu)^2}{2 \sigma^2} \right)\ dx$

Published on 25 Mar 2026 - 14:26

165

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Is this a valid asymptotic approximation to $\int_0^\pi \frac{\cos(kn)}{1+k^2}dk$?

Published on 15 Apr 2026 - 23:40

105

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$X$ sub-Gaussian $\implies \text{Var}(X) \leq \sigma^2$

Published on 15 Apr 2026 - 2:24

207

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Choice of deformed contour in steepest descent method

Published on 11 Apr 2026 - 6:47

59

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Maximizing a function's asymptotic growth

Published on 09 Apr 2026 - 12:07

71

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Is $\exp (-\alpha\log (n)^\beta(1+o(1)))=o(1)$?

Published on 17 Apr 2026 - 2:00

73

Views

A multiparameter inequality

Published on 15 Apr 2026 - 5:53

68

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Deforming through infinity

Published on 12 Apr 2026 - 6:03

74

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Simplify asymptotic notation

Published on 10 Apr 2026 - 23:17

144

Views

Estimate for $\sin(x)/x$ and all its derivatives

Published on 15 Apr 2026 - 18:35

List Question

What is the order of $\mathrm{Z}(x)-\pi(x)?$

Extreme case bounds on Diophantine approximation

Asymptotic growth of number of ways to distribute $10$ balls into boxes

Why is $\log(\log^(n)) = Ω(\log^\log(n))$ is true while $\log^\log n$ is bigger than $\log \log^n$?

Expected Length of Maximum Decreasing Subsequences in Random Sequences

Laplace's method on $\int_0^\infty x^m\exp \left( - \frac{(x - \mu)^2}{2 \sigma^2} \right)\ dx$

Is this a valid asymptotic approximation to $\int_0^\pi \frac{\cos(kn)}{1+k^2}dk$?

$X$ sub-Gaussian $\implies \text{Var}(X) \leq \sigma^2$

Choice of deformed contour in steepest descent method

Maximizing a function's asymptotic growth

Is $\exp (-\alpha\log (n)^\beta(1+o(1)))=o(1)$?

A multiparameter inequality

Deforming through infinity

Simplify asymptotic notation

Estimate for $\sin(x)/x$ and all its derivatives

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