Question

How to find $f(m)=\prod\limits_{n=2}^{\infty}\left(1-\frac{1}{n^m}\right)^{-1}$ (if $m>1$)?

score 151 · Answer 1 · 2026-03-17 11:56:19

151

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How to find $f(m)=\prod\limits_{n=2}^{\infty}\left(1-\frac{1}{n^m}\right)^{-1}$ (if $m>1$)?

Published on 17 Mar 2026 - 11:56

score 108 · Answer 2 · 2026-03-24 15:28:27

108

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Is $e^{u/2}\sum_{n=-\infty}^{\infty}e^{-\pi n^{2}e^{2u}}$ even?

Published on 24 Mar 2026 - 15:28

score 1.3k · Answer 3 · 2026-03-19 23:50:40

1.3k

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Explanation of trivial zeros of the Riemann Zeta Function

Published on 19 Mar 2026 - 23:50

score 141 · Answer 4 · 2026-03-22 12:21:08

141

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How can I prove $\frac{\zeta(k)}{\zeta(k+1)}=\sum\limits_{n=1}^{\infty}\frac{\varphi(n)}{n}\cdot\frac{1}{n^k}$?

Published on 22 Mar 2026 - 12:21

score 159 · Answer 5 · 2026-03-19 20:45:20

159

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Find the value of $A+B+C$ in the following question?

Published on 19 Mar 2026 - 20:45

score 85 · Answer 6 · 2026-03-24 12:26:13

85

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Computing the value of a spectral zeta function at zero

Published on 24 Mar 2026 - 12:26

score 305 · Answer 7 · 2026-03-24 10:56:22

305

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Riemann zeta meromorphic cont. using Abel summation formula

Published on 24 Mar 2026 - 10:56

score 173 · Answer 8 · 2026-03-20 21:45:38

173

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Show that $\int_0^1\frac{\ln(x)^n}{x-1}dx=(-1)^{n+1}n!\zeta(n+1)$, for $n\geq 1$

Published on 20 Mar 2026 - 21:45

score 318 · Answer 9 · 2026-03-20 10:52:16

318

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The sum of $\sum_{k=0}^{\infty}\frac{\zeta(2k+2)-1}{{2k+1}}$

Published on 20 Mar 2026 - 10:52

score 1k · Answer 10 · 2026-03-24 05:41:47

1k

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Verify the Riemann Hypothesis for first 1000 zeros.

Published on 24 Mar 2026 - 5:41

score 2.3k · Answer 11 · 2026-03-22 09:41:13

2.3k

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$n$th derivative of $\tanh$

Published on 22 Mar 2026 - 9:41

score 167 · Answer 12 · 2026-03-20 21:29:53

167

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Reference for von Koch's 1901 theorem (RH characterization)

Published on 20 Mar 2026 - 21:29

score 77 · Answer 13 · 2026-03-17 20:40:04

77

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Derivation of $\lim_{s\to1}\zeta(s)-\log\prod_{n=1}^\infty(1+n^{-s})=\gamma$

Published on 17 Mar 2026 - 20:40

score 149 · Answer 14 · 2026-03-20 06:25:34

149

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How to contour integrate the Riemann Zeta function with a goal to verify the Riemann hypothesis?

Published on 20 Mar 2026 - 6:25

score 74 · Answer 15 · 2026-03-22 20:52:03

74

Views

What infinite prime products have $\zeta$-regularized values?

Published on 22 Mar 2026 - 20:52

List Question

How to find $f(m)=\prod\limits_{n=2}^{\infty}\left(1-\frac{1}{n^m}\right)^{-1}$ (if $m>1$)?

Is $e^{u/2}\sum_{n=-\infty}^{\infty}e^{-\pi n^{2}e^{2u}}$ even?

Explanation of trivial zeros of the Riemann Zeta Function

How can I prove $\frac{\zeta(k)}{\zeta(k+1)}=\sum\limits_{n=1}^{\infty}\frac{\varphi(n)}{n}\cdot\frac{1}{n^k}$?

Find the value of $A+B+C$ in the following question?

Computing the value of a spectral zeta function at zero

Riemann zeta meromorphic cont. using Abel summation formula

Show that $\int_0^1\frac{\ln(x)^n}{x-1}dx=(-1)^{n+1}n!\zeta(n+1)$, for $n\geq 1$

The sum of $\sum_{k=0}^{\infty}\frac{\zeta(2k+2)-1}{{2k+1}}$

Verify the Riemann Hypothesis for first 1000 zeros.

$n$th derivative of $\tanh$

Reference for von Koch's 1901 theorem (RH characterization)

Derivation of $\lim_{s\to1}\zeta(s)-\log\prod_{n=1}^\infty(1+n^{-s})=\gamma$

How to contour integrate the Riemann Zeta function with a goal to verify the Riemann hypothesis?

What infinite prime products have $\zeta$-regularized values?

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