Question

Simplifying Sum of Subsets

score 223 · Answer 1 · 2026-04-10 18:25:40

223

Views

Simplifying Sum of Subsets

Published on 10 Apr 2026 - 18:25

score 441 · Answer 2 · 2026-04-12 02:23:32

441

Views

Non-constructive proof that $\sum_{j=1}^n j^k$ is a polynomial $p(n)$ of degree $k+1$

Published on 12 Apr 2026 - 2:23

score 130 · Answer 3 · 2014-04-07 02:21:31

130

Views

How prove this sum $\sum_{n=1}^{\infty}\frac{(-1)^n\ln{n}}{n^2}+\sum_{n=1}^{\infty}\frac{(-1)^n\ln^2{n}}{n}$

Published on 07 Apr 2014 - 2:21

score 55 · Answer 4 · 2014-04-07 04:46:02

55

Views

Finding the summation of the series.

Published on 07 Apr 2014 - 4:46

score 378 · Answer 5 · 2026-04-03 02:38:00

378

Views

Prove that $\displaystyle\sum_{j=m}^n\sum_{k=0}^{2m}{4j\choose 2k}{2j-k\choose 2m-k}={2n+2m+1\choose 4m+1}2^{4m-1}$

Published on 03 Apr 2026 - 2:38

score 118 · Answer 6 · 2014-04-07 09:14:15

118

Views

How to prove that $\sum_{n}^{\infty}u_{n}^{2}\left(u_{1}+\cdots+u_{n}\right)^{-1}<\infty$ under these conditions?

Published on 07 Apr 2014 - 9:14

score 234 · Answer 7 · 2026-04-02 15:03:31

234

Views

Summation in recurrence: $T(n) = cn + \frac{4}{n^2}\sum\limits_{k=0}^{n-1}T(k)$

Published on 02 Apr 2026 - 15:03

score 659 · Answer 8 · 2026-04-11 15:12:37

659

Views

How to prove lower and upper bound for exponential sum?

Published on 11 Apr 2026 - 15:12

score 173 · Answer 9 · 2026-04-11 20:23:50

173

Views

Prove a inequality about integral and summation

Published on 11 Apr 2026 - 20:23

score 115 · Answer 10 · 2026-04-10 14:52:40

115

Views

compare summation and integral

Published on 10 Apr 2026 - 14:52

score 140 · Answer 11 · 2026-03-28 20:37:48

140

Views

How to show this: $\sum_{k=2}^{n}\frac{\ln{k}}{k^2}\approx \ln{n}\cdot\left(\zeta_{n}{(2)}-\frac{\pi^2}{6}\right)+C$

Published on 28 Mar 2026 - 20:37

score 228 · Answer 12 · 2026-04-09 15:18:28

228

Views

Properties of a sequence of sums of binomials

Published on 09 Apr 2026 - 15:18

score 47 · Answer 13 · 2014-04-08 16:52:05

47

Views

How to prove that $\sum_{k=0}^{n} \frac{k-1}{k!} =\frac{-n-1}{(n+1)!}$

Published on 08 Apr 2014 - 16:52

score 1.1k · Answer 14 · 2026-03-25 17:20:12

1.1k

Views

How can I prove that $\frac{\sigma(n)}{n} = \sum_{(d|n)} \frac{1}{d}$ for every $n \in \mathbb{Z^{+}}$?

Published on 25 Mar 2026 - 17:20

score 47 · Answer 15 · 2014-04-08 19:43:53

47

Views

Condition for $\sum_{x=1}^{\infty} f(x)\left(\frac{1}{f(x)-1}\right)^{2x+1} < \infty\,?$

Published on 08 Apr 2014 - 19:43

List Question

Simplifying Sum of Subsets

Non-constructive proof that $\sum_{j=1}^n j^k$ is a polynomial $p(n)$ of degree $k+1$

How prove this sum $\sum_{n=1}^{\infty}\frac{(-1)^n\ln{n}}{n^2}+\sum_{n=1}^{\infty}\frac{(-1)^n\ln^2{n}}{n}$

Finding the summation of the series.

Prove that $\displaystyle\sum_{j=m}^n\sum_{k=0}^{2m}{4j\choose 2k}{2j-k\choose 2m-k}={2n+2m+1\choose 4m+1}2^{4m-1}$

How to prove that $\sum_{n}^{\infty}u_{n}^{2}\left(u_{1}+\cdots+u_{n}\right)^{-1}<\infty$ under these conditions?

Summation in recurrence: $T(n) = cn + \frac{4}{n^2}\sum\limits_{k=0}^{n-1}T(k)$

How to prove lower and upper bound for exponential sum?

Prove a inequality about integral and summation

compare summation and integral

How to show this: $\sum_{k=2}^{n}\frac{\ln{k}}{k^2}\approx \ln{n}\cdot\left(\zeta_{n}{(2)}-\frac{\pi^2}{6}\right)+C$

Properties of a sequence of sums of binomials

How to prove that $\sum_{k=0}^{n} \frac{k-1}{k!} =\frac{-n-1}{(n+1)!}$

How can I prove that $\frac{\sigma(n)}{n} = \sum_{(d|n)} \frac{1}{d}$ for every $n \in \mathbb{Z^{+}}$?

Condition for $\sum_{x=1}^{\infty} f(x)\left(\frac{1}{f(x)-1}\right)^{2x+1} < \infty\,?$

Trending Questions

Popular # Hahtags

Popular Questions