Question

Stationary phase for continuous functions

score 66 · Answer 1 · 2018-06-04 18:50:24

66

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Stationary phase for continuous functions

Published on 04 Jun 2018 - 18:50

score 115 · Answer 2 · 2018-06-05 00:23:55

115

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Asymptotic Expansion of $\frac{1}{2\pi i} \int_{c-i\infty}^{c+i\infty}\frac{x^{s+1}}{s(s+1)}(1-2^{-s})\zeta^2(s)ds$

Published on 05 Jun 2018 - 0:23

score 325 · Answer 3 · 2018-06-05 04:49:15

325

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What is the asymptotic bound on the summation?

Published on 05 Jun 2018 - 4:49

score 54 · Answer 4 · 2018-06-05 13:48:27

54

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What is meant by this useage of the $\mathcal{O}$ notation in statistics

Published on 05 Jun 2018 - 13:48

score 82 · Answer 5 · 2018-06-05 17:34:13

82

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Equivalent $ f (t) = \int \limits_t^{2t} \ln (2 + \sin x) \, dx $, where $ t \to \infty $

Published on 05 Jun 2018 - 17:34

score 58 · Answer 6 · 2018-06-05 23:25:06

58

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Asymptotic Expansion of Integrals in general form

Published on 05 Jun 2018 - 23:25

score 151 · Answer 7 · 2026-03-25 04:42:50

151

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Estimation of the number of solutions for the equation $\sigma(\varphi(n))=\sigma(\operatorname{rad}(n))$

Published on 25 Mar 2026 - 4:42

score 470 · Answer 8 · 2018-06-07 12:20:10

470

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Using asymptotic expansion of integral

Published on 07 Jun 2018 - 12:20

score 244 · Answer 9 · 2026-03-26 17:32:15

244

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A couple of big-O questions about a problem from number theory

Published on 26 Mar 2026 - 17:32

score 125 · Answer 10 · 2018-06-07 20:37:25

125

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How to prove that an alternate sum is positive? $S(p,n)=\sum _{k=0}^{n+3} (-1)^k \binom{n+2 p+4-k}{2 p+1} \binom{2 n+2 p+7}{k} (n+p+3-k)^{2 n+4}$

Published on 07 Jun 2018 - 20:37

score 321 · Answer 11 · 2018-06-08 01:18:43

321

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Number as the sum of digits of some degree

Published on 08 Jun 2018 - 1:18

score 19 · Answer 12 · 2026-03-25 16:03:38

19

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$t \mapsto \int_{[0, t]} ((1+y)(1+t-y))^{-p} \in \mathscr{O} (t^{-p})$

Published on 25 Mar 2026 - 16:03

score 393 · Answer 13 · 2026-03-25 06:12:42

393

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Statements on the behavior of solutions to $y' = \sin(xy)$ for large $y(0)$

Published on 25 Mar 2026 - 6:12

score 166 · Answer 14 · 2018-06-08 20:38:15

166

Views

$h \in O(h^2)$ as $h \rightarrow 0$?

Published on 08 Jun 2018 - 20:38

score 339 · Answer 15 · 2026-03-25 12:49:15

339

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Asymptotic behavior of trigonometric functions near infinity

Published on 25 Mar 2026 - 12:49

List Question

Stationary phase for continuous functions

Asymptotic Expansion of $\frac{1}{2\pi i} \int_{c-i\infty}^{c+i\infty}\frac{x^{s+1}}{s(s+1)}(1-2^{-s})\zeta^2(s)ds$

What is the asymptotic bound on the summation?

What is meant by this useage of the $\mathcal{O}$ notation in statistics

Equivalent $ f (t) = \int \limits_t^{2t} \ln (2 + \sin x) \, dx $, where $ t \to \infty $

Asymptotic Expansion of Integrals in general form

Estimation of the number of solutions for the equation $\sigma(\varphi(n))=\sigma(\operatorname{rad}(n))$

Using asymptotic expansion of integral

A couple of big-O questions about a problem from number theory

How to prove that an alternate sum is positive? $S(p,n)=\sum _{k=0}^{n+3} (-1)^k \binom{n+2 p+4-k}{2 p+1} \binom{2 n+2 p+7}{k} (n+p+3-k)^{2 n+4}$

Number as the sum of digits of some degree

$t \mapsto \int_{[0, t]} ((1+y)(1+t-y))^{-p} \in \mathscr{O} (t^{-p})$

Statements on the behavior of solutions to $y' = \sin(xy)$ for large $y(0)$

$h \in O(h^2)$ as $h \rightarrow 0$?

Asymptotic behavior of trigonometric functions near infinity

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