List questions from trigonometric-series

Published on 23 Jun 2020 - 1:52

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Why should $\sum_{m=1}^N e(\alpha m^3)$ be big for some $\alpha?$

Published on 25 Mar 2026 - 16:39

38

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Fitting an unknown curve.

Published on 29 Jun 2020 - 21:14

236

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$\cos\theta\cos2\theta\cos3\theta + \cos2\theta\cos3\theta\cos4\theta + ...$

Published on 06 Jul 2020 - 13:00

74

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I was wondering if a general identity of $\cos^{2m}(x)=\,$[in terms of] $\cos^{2m-1}$ exists?

Published on 06 Jul 2020 - 19:48

2.1k

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A Nice Problem In Additive Number Theory

Published on 25 Mar 2026 - 12:32

73

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Almost-geometric series whose coefficients doubly exponentially decay up to $1$

Published on 25 Mar 2026 - 16:39

85

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Order of convergence of series

Published on 13 Mar 2026 - 14:11

181

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Bound on truncated trigonometric polynomial

Published on 16 Jul 2020 - 8:14

196

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How to show that $2\sum_{j=1}^{N}\cot(\frac{\pi j}{2N+1})$ is related to $(\frac{4 \text{N}+2}{\pi}) (H_{\text{N}}+\log (\frac{2}{\pi }))$?

Published on 20 Jul 2020 - 12:48

120

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Nature of the series $\sum_{n=1}^\infty u_n$ where $u_{n+1} = \int_{0}^{u_{n}} \cos(x)^{n}dx$

Published on 22 Jul 2020 - 15:59

369

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$ \sum_{n=1}^\infty \csc^2(\omega\pi n)= \frac{A}{\pi} +B $

Published on 25 Jul 2020 - 1:48

145

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Concept of Trigonometric identities

Published on 09 Jul 2016 - 18:38

231

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How would Taylor Series work?

Published on 15 Jul 2016 - 11:00

769

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How are the trigonometric ratios geometrically defined for non-acute angles?

Published on 25 Mar 2026 - 12:37

List Question

Is there an equation for an ‘erratic’ sine wave?

Why should $\sum_{m=1}^N e(\alpha m^3)$ be big for some $\alpha?$

Fitting an unknown curve.

$\cos\theta\cos2\theta\cos3\theta + \cos2\theta\cos3\theta\cos4\theta + ...$

I was wondering if a general identity of $\cos^{2m}(x)=\,$[in terms of] $\cos^{2m-1}$ exists?

A Nice Problem In Additive Number Theory

Almost-geometric series whose coefficients doubly exponentially decay up to $1$

Order of convergence of series

Bound on truncated trigonometric polynomial

How to show that $2\sum_{j=1}^{N}\cot(\frac{\pi j}{2N+1})$ is related to $(\frac{4 \text{N}+2}{\pi}) (H_{\text{N}}+\log (\frac{2}{\pi }))$?

Nature of the series $\sum_{n=1}^\infty u_n$ where $u_{n+1} = \int_{0}^{u_{n}} \cos(x)^{n}dx$

$ \sum_{n=1}^\infty \csc^2(\omega\pi n)= \frac{A}{\pi} +B $

Concept of Trigonometric identities

How would Taylor Series work?

How are the trigonometric ratios geometrically defined for non-acute angles?

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