Question

Evaluate $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3} $

score 376 · Answer 1 · 2018-04-28 02:21:31

376

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Evaluate $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3} $

Published on 28 Apr 2018 - 2:21

score 157 · Answer 2 · 2026-03-25 10:55:36

157

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Evaluating a sum of factorials and exponentials

Published on 25 Mar 2026 - 10:55

score 79 · Answer 3 · 2026-03-26 01:06:44

79

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A problem on Binomial Theorem

Published on 26 Mar 2026 - 1:06

score 2.5k · Answer 4 · 2026-03-25 17:40:42

2.5k

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Is Lebesgue integral w.r.t. counting measure the same thing as sum (on an arbitrary set)?

Published on 25 Mar 2026 - 17:40

score 1.5k · Answer 5 · 2018-04-28 14:53:26

1.5k

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Summation notation with no starting \ stopping point

Published on 28 Apr 2018 - 14:53

score 98 · Answer 6 · 2026-03-25 07:45:40

98

Views

If $a_1\le a_2 \le \dots \le a_n$ and $a_1 + 2a_2 + \cdots + na_n = 0$, then $a_1[x] + a_2[2x] + \cdots + a_n[nx] \geq 0$

Published on 25 Mar 2026 - 7:45

score 92 · Answer 7 · 2026-03-25 04:41:17

92

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Can $2^s+3^s+\cdots +q^s$ , $q$ odd prime , $s\ge 2$ be a perfect power?

Published on 25 Mar 2026 - 4:41

score 5.7k · Answer 8 · 2026-03-22 10:18:37

5.7k

Views

How to make "sigma" summation of a function by i variable in GNU Octave?

Published on 22 Mar 2026 - 10:18

score 338 · Answer 9 · 2026-03-26 04:53:55

338

Views

Whats is the sum of series for each $0\le x\le 3$?

Published on 26 Mar 2026 - 4:53

score 2.1k · Answer 10 · 2026-03-26 06:32:35

2.1k

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How to find the sum $1+\frac{1}{2}-\frac{1}{4}-\frac{1}{5}+\frac{1}{7}+\frac{1}{8}-\frac{1}{10}-\frac{1}{11}+\cdots =\ ?$

Published on 26 Mar 2026 - 6:32

score 465 · Answer 11 · 2026-03-26 14:34:51

465

Views

Prove that $\sum_{k=0}^{n}{n\choose 3k}\le\frac{1}{3}(2^n+2) \text{such that } n>0$ and $k$ is the largest number for which $3k\le n$

Published on 26 Mar 2026 - 14:34

score 45 · Answer 12 · 2026-03-25 18:51:14

45

Views

connection between integral of perodic function and the sum of integrals

Published on 25 Mar 2026 - 18:51

score 119 · Answer 13 · 2018-05-01 11:11:03

119

Views

Evaluating $\ i+i^2+i^3+i^4+\cdots+i^{100}$

Published on 01 May 2018 - 11:11

score 114 · Answer 14 · 2026-03-26 06:34:54

114

Views

Geometric explanation as to why $\sum_{n=1}^\infty \frac{1}{x^n}$ converges to $\frac{1}{x-1}$?

Published on 26 Mar 2026 - 6:34

score 143 · Answer 15 · 2026-03-26 12:08:27

143

Views

Find an asymptotic for $\sum_{j=1}^N \frac{1}{1 - \cos\frac{\pi j}{N}}$

Published on 26 Mar 2026 - 12:08

List Question

Evaluate $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3} $

Evaluating a sum of factorials and exponentials

A problem on Binomial Theorem

Is Lebesgue integral w.r.t. counting measure the same thing as sum (on an arbitrary set)?

Summation notation with no starting \ stopping point

If $a_1\le a_2 \le \dots \le a_n$ and $a_1 + 2a_2 + \cdots + na_n = 0$, then $a_1[x] + a_2[2x] + \cdots + a_n[nx] \geq 0$

Can $2^s+3^s+\cdots +q^s$ , $q$ odd prime , $s\ge 2$ be a perfect power?

How to make "sigma" summation of a function by i variable in GNU Octave?

Whats is the sum of series for each $0\le x\le 3$?

How to find the sum $1+\frac{1}{2}-\frac{1}{4}-\frac{1}{5}+\frac{1}{7}+\frac{1}{8}-\frac{1}{10}-\frac{1}{11}+\cdots =\ ?$

Prove that $\sum_{k=0}^{n}{n\choose 3k}\le\frac{1}{3}(2^n+2) \text{such that } n>0$ and $k$ is the largest number for which $3k\le n$

connection between integral of perodic function and the sum of integrals

Evaluating $\ i+i^2+i^3+i^4+\cdots+i^{100}$

Geometric explanation as to why $\sum_{n=1}^\infty \frac{1}{x^n}$ converges to $\frac{1}{x-1}$?

Find an asymptotic for $\sum_{j=1}^N \frac{1}{1 - \cos\frac{\pi j}{N}}$

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