Question

Iterated $\sigma^k(n)$, excluding the possibility that primes $p|\sigma^t(n)$, $t< k$ divides an odd perfect number $n$

score 118 · Answer 1 · 2015-11-05 10:20:14

118

Views

Iterated $\sigma^k(n)$, excluding the possibility that primes $p|\sigma^t(n)$, $t< k$ divides an odd perfect number $n$

Published on 05 Nov 2015 - 10:20

score 59 · Answer 2 · 2015-11-05 14:53:43

59

Views

Proving An Asymptotic Relation Needed to Answer a Probability Problem

Published on 05 Nov 2015 - 14:53

score 200 · Answer 3 · 2026-04-01 09:56:19

200

Views

Do we know the rate of divergence of the sum of reciprocals of the $k$-almost primes?

Published on 01 Apr 2026 - 9:56

score 46 · Answer 4 · 2015-11-06 14:56:37

46

Views

Asymptotic behavior of the function $e^{- \lambda t^2}$ when $\lambda$ is small

Published on 06 Nov 2015 - 14:56

score 1.5k · Answer 5 · 2015-11-07 09:40:50

1.5k

Views

Which one is asymptotically less ?$n^\varepsilon$ or $\lg(n)$

Published on 07 Nov 2015 - 9:40

score 370 · Answer 6 · 2026-04-10 15:12:50

370

Views

Twin prime conjecture implies $\limsup_{n\to\infty}\frac{\sigma(n)\pi(n)}{n^2}\left(\pi(\log n)-\frac{\pi_2(\log n)}{2C_2}\right)=e^{\gamma}$?

Published on 10 Apr 2026 - 15:12

score 126 · Answer 7 · 2026-04-02 20:52:27

126

Views

What does it mean to be less than a constant + $o(1)$?

Published on 02 Apr 2026 - 20:52

score 11.3k · Answer 8 · 2015-11-08 18:06:18

11.3k

Views

Arithmetic rules for big O notation, little o notation and so on...

Published on 08 Nov 2015 - 18:06

score 21 · Answer 9 · 2015-11-08 21:02:11

21

Views

Big $O$ notation clarification

Published on 08 Nov 2015 - 21:02

score 864 · Answer 10 · 2026-04-11 10:39:44

864

Views

Show that $\frac{N}{m}((N+m)\ln(N+m)+(N-m)\ln(N-m)-2N\ln(N)) \to 1$ when $N\gg m$

Published on 11 Apr 2026 - 10:39

score 52 · Answer 11 · 2015-11-09 05:21:30

52

Views

A confusion about big Oh notation

Published on 09 Nov 2015 - 5:21

score 54 · Answer 12 · 2015-11-09 08:34:17

54

Views

Find smallest $k$ such that the given trigonometric functions are $O(x^k)$

Published on 09 Nov 2015 - 8:34

score 884 · Answer 13 · 2026-05-04 10:01:17

884

Views

Generalization of asymptotic notations like big O or little o notation

Published on 04 May 2026 - 10:01

score 283 · Answer 14 · 2026-04-29 22:54:38

283

Views

Average Order of $\frac{1}{\mathrm{rad}(n)}$

Published on 29 Apr 2026 - 22:54

score 300 · Answer 15 · 2026-03-28 10:24:10

300

Views

Is it true that $ \sum_{t = 1}^T \frac{T-t}{ t+ \sqrt{T-t}} \in O(T) $?

Published on 28 Mar 2026 - 10:24

List Question

Iterated $\sigma^k(n)$, excluding the possibility that primes $p|\sigma^t(n)$, $t< k$ divides an odd perfect number $n$

Proving An Asymptotic Relation Needed to Answer a Probability Problem

Do we know the rate of divergence of the sum of reciprocals of the $k$-almost primes?

Asymptotic behavior of the function $e^{- \lambda t^2}$ when $\lambda$ is small

Which one is asymptotically less ?$n^\varepsilon$ or $\lg(n)$

Twin prime conjecture implies $\limsup_{n\to\infty}\frac{\sigma(n)\pi(n)}{n^2}\left(\pi(\log n)-\frac{\pi_2(\log n)}{2C_2}\right)=e^{\gamma}$?

What does it mean to be less than a constant + $o(1)$?

Arithmetic rules for big O notation, little o notation and so on...

Big $O$ notation clarification

Show that $\frac{N}{m}((N+m)\ln(N+m)+(N-m)\ln(N-m)-2N\ln(N)) \to 1$ when $N\gg m$

A confusion about big Oh notation

Find smallest $k$ such that the given trigonometric functions are $O(x^k)$

Generalization of asymptotic notations like big O or little o notation

Average Order of $\frac{1}{\mathrm{rad}(n)}$

Is it true that $ \sum_{t = 1}^T \frac{T-t}{ t+ \sqrt{T-t}} \in O(T) $?

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