Question

How to find first 32 digits of $\displaystyle \prod_{n=1}^{\infty} (1-\gamma^n)$?

score 177 · Answer 1 · 2026-03-25 01:17:01

177

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How to find first 32 digits of $\displaystyle \prod_{n=1}^{\infty} (1-\gamma^n)$?

Published on 25 Mar 2026 - 1:17

score 29 · Answer 2 · 2026-03-25 04:43:05

29

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Why can('t) I map this closed subset of a product of compact sets to a non-compact set?

Published on 25 Mar 2026 - 4:43

score 582 · Answer 3 · 2026-03-25 23:08:31

582

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Simplifying a product of a series

Published on 25 Mar 2026 - 23:08

score 39 · Answer 4 · 2026-03-26 12:07:45

39

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Is the following statement about matrix norms of matrix products correct?

Published on 26 Mar 2026 - 12:07

score 184 · Answer 5 · 2019-02-14 20:41:48

184

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Convergence of $\sum\limits_{n=0}^{\infty} (1-|a_n|)$

Published on 14 Feb 2019 - 20:41

score 124 · Answer 6 · 2026-03-26 11:03:37

124

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General closed form for $L(\phi)=\int_0^\phi \log(\sin x)\mathrm dx$ when $\phi\in(0,\pi)$?

Published on 26 Mar 2026 - 11:03

score 79 · Answer 7 · 2019-02-23 05:09:56

79

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Does the following Infinite product converge to anything?

Published on 23 Feb 2019 - 5:09

score 150 · Answer 8 · 2019-03-03 19:17:47

150

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Find the value of $\prod_{k=1}^{\infty} \big(1+\frac{1}{k^s}\big)$

Published on 03 Mar 2019 - 19:17

score 91 · Answer 9 · 2026-03-26 02:55:54

91

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Prove that $\sin(\pi z)$ can be written as infinite product

Published on 26 Mar 2026 - 2:55

score 136 · Answer 10 · 2019-03-10 02:44:15

136

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Defining the notion of a product over an uncountable set

Published on 10 Mar 2019 - 2:44

score 1k · Answer 11 · 2026-03-25 07:21:57

1k

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product= $\exp\left[\frac{47\mathrm G}{30\pi}+\frac34\right]\left(\frac{11^{11}3^3}{13^{13}}\right)^{1/20}\sqrt{\frac{3}{7^{7/6}\pi}\sqrt{\frac2\pi}}$

Published on 25 Mar 2026 - 7:21

score 194 · Answer 12 · 2019-03-14 06:56:42

194

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closed form of $\prod_{n=1}^{\infty}\left(\frac{n}{n+1}\right)^{(-1)^{n-1}n}$

Published on 14 Mar 2019 - 6:56

score 568 · Answer 13 · 2026-03-25 22:05:32

568

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Proof of identity for $\pi$: $\frac{\pi}{3} = \frac{2}{\sqrt{2+\sqrt{3}}}\frac{2}{\sqrt{2+\sqrt{2+\sqrt{3}}}}\cdots$

Published on 25 Mar 2026 - 22:05

score 162 · Answer 14 · 2019-03-14 11:20:41

162

Views

Ratio of $\frac{\zeta(2n)}{\zeta(n)}$ from infinite product involving primes

Published on 14 Mar 2019 - 11:20

score 149 · Answer 15 · 2026-03-24 23:48:13

149

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How to prove that $\frac{1}{1-z}=\prod_{n=0}^\infty (1+z^{2^n})$?

Published on 24 Mar 2026 - 23:48

List Question

How to find first 32 digits of $\displaystyle \prod_{n=1}^{\infty} (1-\gamma^n)$?

Why can('t) I map this closed subset of a product of compact sets to a non-compact set?

Simplifying a product of a series

Is the following statement about matrix norms of matrix products correct?

Convergence of $\sum\limits_{n=0}^{\infty} (1-|a_n|)$

General closed form for $L(\phi)=\int_0^\phi \log(\sin x)\mathrm dx$ when $\phi\in(0,\pi)$?

Does the following Infinite product converge to anything?

Find the value of $\prod_{k=1}^{\infty} \big(1+\frac{1}{k^s}\big)$

Prove that $\sin(\pi z)$ can be written as infinite product

Defining the notion of a product over an uncountable set

product= $\exp\left[\frac{47\mathrm G}{30\pi}+\frac34\right]\left(\frac{11^{11}3^3}{13^{13}}\right)^{1/20}\sqrt{\frac{3}{7^{7/6}\pi}\sqrt{\frac2\pi}}$

closed form of $\prod_{n=1}^{\infty}\left(\frac{n}{n+1}\right)^{(-1)^{n-1}n}$

Proof of identity for $\pi$: $\frac{\pi}{3} = \frac{2}{\sqrt{2+\sqrt{3}}}\frac{2}{\sqrt{2+\sqrt{2+\sqrt{3}}}}\cdots$

Ratio of $\frac{\zeta(2n)}{\zeta(n)}$ from infinite product involving primes

How to prove that $\frac{1}{1-z}=\prod_{n=0}^\infty (1+z^{2^n})$?

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