User user17762 - Mathematics Stack Exchange

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List of Interesting Math Videos/ Documentaries

soft-question big-list

may 10 at 4:14 cyclochaotic 589

6

42

votes

6

answers

2

kviews

Why is $\omega$ the smallest $\infty$?

dec 5 at 11:21 Mark 304

8

35

votes

4

answers

2

kviews

“Closed” form for $\sum \frac{1}{n^n}$

sequences-and-series

feb 25 '12 at 17:30 Peter Tamaroff 28.7k

5

27

votes

1

answer

487

views

A Bernoulli number identity and evaluating $\zeta$ at even integers

riemann-zeta bernoulli-numbers

may 2 at 21:37 Graham Hesketh 1,115

4

19

votes

3

answers

681

views

Set Theoretic Definition of Numbers

set-theory

dec 24 '10 at 23:17 yatima2975 772

6

15

votes

5

answers

570

views

Interpretation of Poisson Summation Formula

number-theory fourier-analysis

jun 11 at 0:06 Jason Meng-Kun Liu 11

4

15

votes

2

answers

157

views

Evaluating $\int_0^{\infty} \text{sinc}^m(x) dx$

integral definite-integral

may 2 at 6:48 achille hui 6,873

1

12

votes

1

answer

224

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The double factorial notation

soft-question notation

jan 3 at 2:54 ncmathsadist 17.5k

1

12

votes

3

answers

598

views

Motivation for triangle inequality

analysis inequality

jan 11 '12 at 2:02 Srivatsan 15.7k

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11

votes

4

answers

822

views

Highest power of a prime $p$ dividing $N!$

algebra-precalculus elementary-number-theory factorial faq

nov 5 at 1:04 KennyColnago 101

1

11

votes

1

answer

228

views

Regularizing divergent series and Bernoulli numbers

combinatorics sequences-and-series divergent-series zeta-functions

dec 24 '11 at 16:32 user17762 78.4k

3

10

votes

1

answer

110

views

How to prove that $\int_0^{\infty} \log^2(x) e^{-kx}dx = \dfrac{\pi^2}{6k} + \dfrac{(\gamma+ \ln(k))^2}{k}$?

integral

may 17 at 7:52 robjohn♦ 63k

2

8

votes

2

answers

224

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Evaluating $ \int_1^{\infty} \frac{\{t\} (\{t\} - 1)}{t^2} dt$

integral definite-integral improper-integrals

jun 8 '12 at 12:19 Chris's wise sister 11.6k

1

8

votes

2

answers

217

views

Proofs for an equality

sequences-and-series

dec 18 '11 at 21:19 user17762 78.4k

4

8

votes

2

answers

288

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$\frac{\mathrm d^2 \log(\Gamma (z))}{\mathrm dz^2} = \sum\limits_{n = 0}^{\infty} \frac{1}{(z+n)^2}$

complex-analysis special-functions

dec 9 '11 at 3:08 Ｊ. M. 39.9k

2

8

votes

2

answers

608

views

Gibbs Phenomenon

fourier-series

feb 7 '11 at 23:22 Did 107k

7

votes

3

answers

509

views

Dirichlet's theorem on primes in arithmetic progression

number-theory prime-numbers

nov 22 '10 at 9:27 Robin Chapman 14.4k

2

7

votes

1

answer

236

views

Does $\frac{(30n)!n!}{(15n)!(10n)!(6n)!}$ count something?

number-theory combinatorics

nov 12 '10 at 2:46 Qiaochu Yuan 120k

2

6

votes

3

answers

166

views

$f(x^2) = 2f(x)$ and $f(x)$ continuous

calculus functional-equations

may 9 at 21:47 doraemonpaul 1

3

6

votes

1

answer

323

views

Ultrafinitism and the denial of existence of $\lfloor e^{e^{e^{79}}} \rfloor$

logic computational-complexity philosophy finitism ultrafinitism

feb 1 at 2:44 Kaveh 1,969

4

6

votes

3

answers

287

views

Divergence of a sequence

real-analysis sequences-and-series

oct 31 at 3:45 coffeemath 7,016

1

6

votes

1

answer

238

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Ramanujan's approximation to factorial

reference-request factorial

jun 1 '12 at 7:05 Robert Israel 88k

6

votes

0

answers

72

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Optimal lower bound of $k$-sums for the integers $\{1,2,\ldots,n\}$ arranged around a circle in arbitrary order.

combinatorics

may 7 '12 at 19:59 user17762 78.4k

1

6

votes

1

answer

289

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An example of a divergent double sum

sequences-and-series convergence

jan 1 '12 at 16:12 Srivatsan 15.7k

1

6

votes

4

answers

736

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Big $\mathcal{O}$ Notation question while estimating $\sum \frac{\log n}{n}$

asymptotics

dec 7 '10 at 15:54 Ｊ. M. 39.9k

1

5

votes

3

answers

554

views

Convergence of the series $\sum \limits_{n=2}^{\infty} \frac{1}{n\log^s n}$

real-analysis sequences-and-series intuition convergence

apr 8 at 3:53 user17762 78.4k

5

votes

1

answer

217

views

Cost of Solving Linear System

linear-algebra

jan 18 '11 at 22:35 Community♦ 1

4

5

votes

2

answers

459

views

Limit of $S(n) = \sum_{k=1}^{\infty} \left(1 - \prod_{j=1}^{n-1}\left(1-\frac{j}{2^k}\right)\right)$ - Part II

number-theory real-analysis combinatorics sequences-and-series asymptotics

nov 27 '10 at 21:14 Mike Spivey 26.1k

5

votes

2

answers

798

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One-to-one function from the interval $[0,1]$ to $\mathbb{R}\setminus\mathbb{Q}$?

real-analysis functions

nov 22 '10 at 6:40 Community♦ 1

1

5

votes

1

answer

388

views

Banach Tarski Paradox

set-theory measure-theory

nov 11 '10 at 3:23 Carl Mummert 26.5k

user17762

42 Questions