Question

Exactly expressing integral as a sum

score 184 · Answer 1 · 2026-04-10 11:42:05

184

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Exactly expressing integral as a sum

Published on 10 Apr 2026 - 11:42

score 228 · Answer 2 · 2026-04-16 15:18:34

228

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What is the value of $\sum_{m=1}^{19} \frac{1}{\zeta^{3m}+\zeta^{2m}+\zeta^{m}+1}$ with $\zeta=e^{2\pi i/19}$?

Published on 16 Apr 2026 - 15:18

score 54.6k · Answer 3 · 2026-04-12 12:47:46

54.6k

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Calculating sum of consecutive powers of a number

Published on 12 Apr 2026 - 12:47

score 78 · Answer 4 · 2026-04-11 08:21:58

78

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How to tell which function's Fourier series to use in order to calculate the value of series.

Published on 11 Apr 2026 - 8:21

score 62 · Answer 5 · 2026-04-12 18:33:35

62

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$\sum_{i=0}^n (-1)^i \delta_i(\sum_{j=0}^{n+1} (-1)^j \delta_j) = 0$, given that $\delta_i \delta_j = \delta_{j-1}\delta_i$ whenever $i < j$

Published on 12 Apr 2026 - 18:33

score 184 · Answer 6 · 2026-04-10 04:20:01

184

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The meaning of a definition involving multiple sums with Bernoulli numbers

Published on 10 Apr 2026 - 4:20

score 808 · Answer 7 · 2026-04-11 11:40:45

808

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Derivatives and Integrals of Summations

Published on 11 Apr 2026 - 11:40

score 4.8k · Answer 8 · 2026-04-11 12:31:02

4.8k

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What is the general formula for power series summation?

Published on 11 Apr 2026 - 12:31

score 69 · Answer 9 · 2026-04-10 03:09:40

69

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differential equation using series expansion

Published on 10 Apr 2026 - 3:09

score 174 · Answer 10 · 2026-04-13 22:09:52

174

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Evaluating Telescopic Sum $ \sum\frac{n}{1+n^2+n^4} $

Published on 13 Apr 2026 - 22:09

score 191 · Answer 11 · 2026-04-16 09:03:04

191

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MacLaurin of the Third-degree in sin(ax)cos(b*x) at given values

Published on 16 Apr 2026 - 9:03

score 3.5k · Answer 12 · 2026-04-16 05:28:54

3.5k

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Prove by Induction : $\sum n^3=(\sum n)^2$

Published on 16 Apr 2026 - 5:28

score 217 · Answer 13 · 2026-04-14 19:40:17

217

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Prove that $\left(\sum_{k=1}^{n}k\right)^2=\sum_{k=1}^{n}k^3$ holds true for $n ≥ 1$

Published on 14 Apr 2026 - 19:40

score 71 · Answer 14 · 2026-04-12 13:27:13

71

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Find the sum of n terms of a series

Published on 12 Apr 2026 - 13:27

score 215 · Answer 15 · 2026-04-11 20:16:55

215

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A double Summation involving 7th roots of unity

Published on 11 Apr 2026 - 20:16

List Question

Exactly expressing integral as a sum

What is the value of $\sum_{m=1}^{19} \frac{1}{\zeta^{3m}+\zeta^{2m}+\zeta^{m}+1}$ with $\zeta=e^{2\pi i/19}$?

Calculating sum of consecutive powers of a number

How to tell which function's Fourier series to use in order to calculate the value of series.

$\sum_{i=0}^n (-1)^i \delta_i(\sum_{j=0}^{n+1} (-1)^j \delta_j) = 0$, given that $\delta_i \delta_j = \delta_{j-1}\delta_i$ whenever $i < j$

The meaning of a definition involving multiple sums with Bernoulli numbers

Derivatives and Integrals of Summations

What is the general formula for power series summation?

differential equation using series expansion

Evaluating Telescopic Sum $ \sum\frac{n}{1+n^2+n^4} $

MacLaurin of the Third-degree in sin(ax)cos(b*x) at given values

Prove by Induction : $\sum n^3=(\sum n)^2$

Prove that $\left(\sum_{k=1}^{n}k\right)^2=\sum_{k=1}^{n}k^3$ holds true for $n ≥ 1$

Find the sum of n terms of a series

A double Summation involving 7th roots of unity

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