List questions from infinite-product

Published on 30 Aug 2022 - 14:25

121

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Comparing relative product topology, box topology and a final topology

Published on 28 Mar 2026 - 12:14

49

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Uniformly convergent series manipulation

Published on 27 Mar 2026 - 23:01

145

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Infinite Series to Infinite Product

Published on 06 Sep 2022 - 12:33

116

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Find $\cos(\frac{\pi}{p})\cos(\frac{\pi}{p^{2}})\cos(\frac{\pi}{p^{3}})...$ where $p$ is an odd prime number.

Published on 07 Sep 2022 - 14:31

161

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Infinite product $\prod_{ m = 1 }^{ \infty } { \cos (\frac{ x }{ 4 ^ { m }}) }$

Published on 07 Sep 2022 - 23:32

67

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Poles and Zeros of Faddeev’s Quantum Dilogarithm

Published on 09 Sep 2022 - 7:37

66

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Question on convergence of product and Dirichlet series representations of a function

Published on 27 Mar 2026 - 22:53

432

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Product of areas in a circle: Why does it approach $1$?

Published on 12 Sep 2022 - 4:09

68

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A Limit that has Binomials $\lim_{n\to \infty}\sqrt[n^2 +n]{\prod_{i=0}^n \frac{n!}{i!(n-i)!}} $

Published on 14 Sep 2022 - 12:25

287

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Conjecture about product of lengths in a circle

Published on 15 Sep 2022 - 21:53

241

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What is a closed form of this limit? (product of areas in circle with parabolas)

Published on 21 Sep 2022 - 12:50

115

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Special property of circle with radius 0.975399...

Published on 29 Mar 2026 - 12:12

101

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For what values of $a$ does $\prod\limits_{k=1}^n a|\sin{k}|\to\infty$ as $n\to\infty$?

Published on 25 Sep 2022 - 9:25

581

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Another interesting property of $y=2^{n-1}\prod_{k=0}^n \left(x-\cos{\frac{k\pi}{n}}\right)$: product of arc lengths converges, but to what?

Published on 29 Mar 2026 - 13:40

List Question

Radical of Infinite Product of Primes

Comparing relative product topology, box topology and a final topology

Uniformly convergent series manipulation

Infinite Series to Infinite Product

Find $\cos(\frac{\pi}{p})\cos(\frac{\pi}{p^{2}})\cos(\frac{\pi}{p^{3}})...$ where $p$ is an odd prime number.

Infinite product $\prod_{ m = 1 }^{ \infty } { \cos (\frac{ x }{ 4 ^ { m }}) }$

Poles and Zeros of Faddeev’s Quantum Dilogarithm

Question on convergence of product and Dirichlet series representations of a function

Product of areas in a circle: Why does it approach $1$?

A Limit that has Binomials $\lim_{n\to \infty}\sqrt[n^2 +n]{\prod_{i=0}^n \frac{n!}{i!(n-i)!}} $

Conjecture about product of lengths in a circle

What is a closed form of this limit? (product of areas in circle with parabolas)

Special property of circle with radius 0.975399...

For what values of $a$ does $\prod\limits_{k=1}^n a|\sin{k}|\to\infty$ as $n\to\infty$?

Another interesting property of $y=2^{n-1}\prod_{k=0}^n \left(x-\cos{\frac{k\pi}{n}}\right)$: product of arc lengths converges, but to what?

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