List questions from zeta-functions

Published on 25 Mar 2026 - 17:43

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Can the Riemann Zeta derivative be expressed in terms of Riemann Zeta?

Published on 08 Dec 2014 - 22:29

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Generalize a trick with Dirichlet series to algebraic number theory

Published on 10 Dec 2014 - 22:53

291

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Why does the tribonacci constant have a trilogarithm ladder?

Published on 25 Mar 2026 - 14:03

83

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Formula for tangent derivatives, how to prove?

Published on 25 Mar 2026 - 12:29

533

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Extending the zeta function to semiprimes, etc.

Published on 23 Feb 2026 - 4:37

236

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Riemann vs. Ihara's $\zeta$ Function Variable Question

Published on 17 Dec 2014 - 20:32

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How to prove that $\frac{\zeta(2) }{2}+\frac{\zeta (4)}{2^3}+\frac{\zeta (6)}{2^5}+\frac{\zeta (8)}{2^7}+\cdots=1$?

Published on 24 Dec 2014 - 18:24

340

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How can prove that $\sum_{n=1}^{\infty }\frac{\zeta (2n)}{4^{n-1}}(1-\frac{1}{4^n})=\frac{\pi }{2}$

Published on 26 Dec 2014 - 13:10

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How are Zeta function values calculated from within the Critical Strip?

Published on 27 Dec 2014 - 6:14

315

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Can I get a closed-form of $\frac{\zeta(2) }{2}-\frac{\zeta (4)}{2^3}+\frac{\zeta (6)}{2^5}-\frac{\zeta (8)}{2^7}+\cdots$?

Published on 29 Dec 2014 - 19:31

35

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What will be the value of $η$ such that for $m<η$, the zeta function ζ(m) will diverge?

Published on 06 Oct 2019 - 3:22

100

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What is$\sum_{n=1}^\infty\frac{1}{n^2+1}$?

Published on 06 Oct 2019 - 14:27

106

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Are there identities for the sum of reciprocal powers similar to $\sum\frac{1}{k^2}=\frac{\pi^2}{6}$ and $\sum\frac{1}{k^4}=\frac{\pi^4}{90}$?

Published on 15 Oct 2019 - 14:57

411

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40% of zeros of Riemann's Zeta function - question.

Published on 28 Oct 2019 - 15:35

List Question

Galois theory on curves

Can the Riemann Zeta derivative be expressed in terms of Riemann Zeta?

Generalize a trick with Dirichlet series to algebraic number theory

Why does the tribonacci constant have a trilogarithm ladder?

Formula for tangent derivatives, how to prove?

Extending the zeta function to semiprimes, etc.

Riemann vs. Ihara's $\zeta$ Function Variable Question

How to prove that $\frac{\zeta(2) }{2}+\frac{\zeta (4)}{2^3}+\frac{\zeta (6)}{2^5}+\frac{\zeta (8)}{2^7}+\cdots=1$?

How can prove that $\sum_{n=1}^{\infty }\frac{\zeta (2n)}{4^{n-1}}(1-\frac{1}{4^n})=\frac{\pi }{2}$

How are Zeta function values calculated from within the Critical Strip?

Can I get a closed-form of $\frac{\zeta(2) }{2}-\frac{\zeta (4)}{2^3}+\frac{\zeta (6)}{2^5}-\frac{\zeta (8)}{2^7}+\cdots$?

What will be the value of $η$ such that for $m<η$, the zeta function ζ(m) will diverge?

What is$\sum_{n=1}^\infty\frac{1}{n^2+1}$?

Are there identities for the sum of reciprocal powers similar to $\sum\frac{1}{k^2}=\frac{\pi^2}{6}$ and $\sum\frac{1}{k^4}=\frac{\pi^4}{90}$?

40% of zeros of Riemann's Zeta function - question.

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