List questions from riemann-zeta

Published on 27 Mar 2026 - 16:21

142

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Sum of Zeta function with alternating signs

Published on 25 Mar 2026 - 17:45

199

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Question on conjectured formulas for $B_n$, $\eta(s)$, and $\zeta(s)$

Published on 25 Mar 2026 - 11:02

241

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Graph of $1/\zeta(n)$ where $n$ runs through positive real numbers .

Published on 06 Sep 2019 - 7:14

360

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Prove $\int_0^\infty \frac{\ln^2x\ln(1+x)}{x(1+x)} dx=7\zeta(4)$

Published on 06 Sep 2019 - 18:53

121

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Questions related to globally convergent formulas for the Dirichlet eta function $\eta(s)$

Published on 25 Mar 2026 - 11:13

784

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Prove $\int_0^1\frac{\ln x\ln(1+x)}{1-x}\ dx=\zeta(3)-\frac32\ln2\zeta(2)$

Published on 08 Sep 2019 - 15:47

38

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Find identities for $ζ^\star(2,1,2)$ and $ζ^\star(\bar{2},\bar{1},2)$.

Published on 09 Sep 2019 - 2:39

55

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Estimation of $\sum_{n\leq x}|\mu (n)|* \mu$

Published on 12 Sep 2019 - 17:43

143

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Prove $\lim_{n\ \mapsto\ \infty}4^n \psi^{(2)}(2^n)-\psi^{(2)}(1)=2\zeta(3)-1$

Published on 25 Mar 2026 - 6:04

873

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Proof that all non-trivial zeros of $\zeta (s)$ lie on the strip $0\lt \Re (s)\lt 1$

Published on 25 Mar 2026 - 14:25

445

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Compute $\sum_{n=1}^\infty\frac{H_nH_{2n}}{(2n+1)^3}$

Published on 25 Mar 2026 - 16:01

282

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Infinite product $\Gamma(\tfrac14)=\mathrm{A}^3e^{-\mathrm{G}/\pi}2^{1/6}\sqrt{\pi}\prod_{k\ge1}\left(1-\frac1{2k}\right)^{(-1)^k k}$

Published on 25 Mar 2026 - 13:34

794

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$\zeta(0)$ and the limit of $(1-s)\zeta(s)$ as $s\to 1$

Published on 28 Mar 2026 - 9:53

72

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Approaching $\frac{\zeta(s)}{\ln(k)^s}$

Published on 29 Sep 2019 - 18:34

List Question

How to compute the Riemann zeta function at negative integers?

Sum of Zeta function with alternating signs

Question on conjectured formulas for $B_n$, $\eta(s)$, and $\zeta(s)$

Graph of $1/\zeta(n)$ where $n$ runs through positive real numbers .

Prove $\int_0^\infty \frac{\ln^2x\ln(1+x)}{x(1+x)} dx=7\zeta(4)$

Questions related to globally convergent formulas for the Dirichlet eta function $\eta(s)$

Prove $\int_0^1\frac{\ln x\ln(1+x)}{1-x}\ dx=\zeta(3)-\frac32\ln2\zeta(2)$

Find identities for $ζ^\star(2,1,2)$ and $ζ^\star(\bar{2},\bar{1},2)$.

Estimation of $\sum_{n\leq x}|\mu (n)|* \mu$

Prove $\lim_{n\ \mapsto\ \infty}4^n \psi^{(2)}(2^n)-\psi^{(2)}(1)=2\zeta(3)-1$

Proof that all non-trivial zeros of $\zeta (s)$ lie on the strip $0\lt \Re (s)\lt 1$

Compute $\sum_{n=1}^\infty\frac{H_nH_{2n}}{(2n+1)^3}$

Infinite product $\Gamma(\tfrac14)=\mathrm{A}^3e^{-\mathrm{G}/\pi}2^{1/6}\sqrt{\pi}\prod_{k\ge1}\left(1-\frac1{2k}\right)^{(-1)^k k}$

$\zeta(0)$ and the limit of $(1-s)\zeta(s)$ as $s\to 1$

Approaching $\frac{\zeta(s)}{\ln(k)^s}$

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