List questions from summation

Published on 15 Apr 2026 - 10:45

124

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Please calculate $\sum _{ k=0 }^\infty\left[ \tan^{ -1 }\left( \frac { 1 }{ k^{ 2 }+k+1 } \right) -\ldots \right] $

Published on 16 Apr 2026 - 9:47

238

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A Simple Bound on Super-Additive Functions

Published on 11 Apr 2026 - 6:22

112

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Sum of trigonometric series $\sum_{m=1}^{N-1} \frac{\sin(4\pi mk/N)}{\sin ^2 (\pi m/N) }$

Published on 17 Apr 2026 - 19:54

296

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Solving 2nd order ODE with Frobenius method - problems with summation symbol

Published on 15 Apr 2026 - 14:58

201

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Probability of $B$ winning a series of games

Published on 13 Apr 2026 - 19:03

147

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Computing $\sum\nolimits_{n = 1}^{+\infty} n \cdot 0.3^{n - 1}$ with the help of an integral

Published on 15 Apr 2026 - 7:44

535

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Simplify the product of two sums

Published on 10 Apr 2026 - 12:06

1.2k

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Evaluate infinite sum for $\frac{1}{n^4}$ using integration

Published on 13 Apr 2026 - 0:16

134

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Does this simple sum converge

Published on 11 Apr 2026 - 7:14

1k

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Proof that $\sum_{1}^{\infty} \frac{1}{n^2} <2$

Published on 13 Apr 2026 - 8:08

797

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A closed form for sum of binomial coefficients

Published on 13 Apr 2026 - 14:22

191

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Integration matrix

Published on 22 Apr 2026 - 4:11

615

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Summation manipulation

Published on 09 Apr 2026 - 8:07

73

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Sum convergence

Published on 10 Apr 2026 - 2:11

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A question from the dreams realm

Please calculate $\sum _{ k=0 }^\infty\left[ \tan^{ -1 }\left( \frac { 1 }{ k^{ 2 }+k+1 } \right) -\ldots \right] $

A Simple Bound on Super-Additive Functions

Sum of trigonometric series $\sum_{m=1}^{N-1} \frac{\sin(4\pi mk/N)}{\sin ^2 (\pi m/N) }$

Solving 2nd order ODE with Frobenius method - problems with summation symbol

Probability of $B$ winning a series of games

Computing $\sum\nolimits_{n = 1}^{+\infty} n \cdot 0.3^{n - 1}$ with the help of an integral

Simplify the product of two sums

Evaluate infinite sum for $\frac{1}{n^4}$ using integration

Does this simple sum converge

Proof that $\sum_{1}^{\infty} \frac{1}{n^2} <2$

A closed form for sum of binomial coefficients

Integration matrix

Summation manipulation

Sum convergence

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