Question

Solutions to $\frac{1}{1-\frac{A}{B}}+s=\left(\frac{1}{1-\frac{B}{A}}-s\right)^*$ over the Complexes.

score 77 · Answer 1 · 2026-03-27 00:59:55

77

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Solutions to $\frac{1}{1-\frac{A}{B}}+s=\left(\frac{1}{1-\frac{B}{A}}-s\right)^*$ over the Complexes.

Published on 27 Mar 2026 - 0:59

score 217 · Answer 2 · 2020-11-30 04:22:59

217

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Calculation of the integral $\int_0^\infty d x\, x^{2n+1} \tanh(\pi x)\, \log (1 - e^{-2\pi x})$ for non-negative integer $n$

Published on 30 Nov 2020 - 4:22

score 367 · Answer 3 · 2026-03-27 01:00:04

367

Views

If $z_n$ are the zeros of the zeta function, what is the limit of $\Im{(z_n)}$ as $n$ goes to infinity?

Published on 27 Mar 2026 - 1:00

score 61 · Answer 4 · 2026-03-27 01:00:04

61

Views

Direct derivation of $J(x) = \operatorname{li}(x) - \sum_{\rho} \operatorname{li}(x^\rho) + \int_{x}^{\infty} \frac{dt}{t(t^2-1)\log t} -\log 2 $

Published on 27 Mar 2026 - 1:00

score 166 · Answer 5 · 2020-12-02 16:59:56

166

Views

finding a value for $\sum_{n=2}^\infty\frac{\zeta(n)}{n!}$

Published on 02 Dec 2020 - 16:59

score 122 · Answer 6 · 2026-04-11 17:48:13

122

Views

Find the residue of ζ(2s) and ζ(6s)

Published on 11 Apr 2026 - 17:48

score 279 · Answer 7 · 2026-04-08 17:03:35

279

Views

Is it hopeless to try and solve this equation analytically?

Published on 08 Apr 2026 - 17:03

score 180 · Answer 8 · 2020-12-05 17:23:40

180

Views

Sum of inverse of imaginary part of non trivial zeroes of Riemann zeta function

Published on 05 Dec 2020 - 17:23

score 72 · Answer 9 · 2020-12-06 21:44:03

72

Views

The attractiveness of the fixed points in system $z \mapsto z + \xi(\frac{1}{2} + i z)$

Published on 06 Dec 2020 - 21:44

score 3k · Answer 10 · 2026-04-11 17:51:02

3k

Views

Why is proving the Riemann Hypothesis so hard?

Published on 11 Apr 2026 - 17:51

score 217 · Answer 11 · 2026-03-28 06:59:57

217

Views

How to evaluate $\int _0^1\ln \left(\operatorname{Li}_2\left(x\right)\right)\:dx$

Published on 28 Mar 2026 - 6:59

score 331 · Answer 12 · 2026-03-28 06:59:47

331

Views

On an identity that appears in Apéry's proof of the irrationality of $\zeta(3)$

Published on 28 Mar 2026 - 6:59

score 136 · Answer 13 · 2020-12-09 21:40:36

136

Views

If $\zeta(1+it_0)=0$ then $|\zeta (\sigma)^3 \zeta (\sigma +it_0)^4 \zeta(\sigma + 2it_0)| \longrightarrow 0$ as $\sigma \longrightarrow 1$

Published on 09 Dec 2020 - 21:40

score 65 · Answer 14 · 2026-03-26 17:53:41

65

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Prove $\int_1^{\infty}\psi(x)(x^\frac{s}{2}+ x^\frac{1-s}{2})\frac{dx}{x} $ is Entire

Published on 26 Mar 2026 - 17:53

score 322 · Answer 15 · 2026-03-26 01:04:36

322

Views

Closed form of the sum $\sum_{r\ge2}\frac{\zeta(r)}{r^2}$

Published on 26 Mar 2026 - 1:04

List Question

Solutions to $\frac{1}{1-\frac{A}{B}}+s=\left(\frac{1}{1-\frac{B}{A}}-s\right)^*$ over the Complexes.

Calculation of the integral $\int_0^\infty d x\, x^{2n+1} \tanh(\pi x)\, \log (1 - e^{-2\pi x})$ for non-negative integer $n$

If $z_n$ are the zeros of the zeta function, what is the limit of $\Im{(z_n)}$ as $n$ goes to infinity?

Direct derivation of $J(x) = \operatorname{li}(x) - \sum_{\rho} \operatorname{li}(x^\rho) + \int_{x}^{\infty} \frac{dt}{t(t^2-1)\log t} -\log 2 $

finding a value for $\sum_{n=2}^\infty\frac{\zeta(n)}{n!}$

Find the residue of ζ(2s) and ζ(6s)

Is it hopeless to try and solve this equation analytically?

Sum of inverse of imaginary part of non trivial zeroes of Riemann zeta function

The attractiveness of the fixed points in system $z \mapsto z + \xi(\frac{1}{2} + i z)$

Why is proving the Riemann Hypothesis so hard?

How to evaluate $\int _0^1\ln \left(\operatorname{Li}_2\left(x\right)\right)\:dx$

On an identity that appears in Apéry's proof of the irrationality of $\zeta(3)$

If $\zeta(1+it_0)=0$ then $|\zeta (\sigma)^3 \zeta (\sigma +it_0)^4 \zeta(\sigma + 2it_0)| \longrightarrow 0$ as $\sigma \longrightarrow 1$

Prove $\int_1^{\infty}\psi(x)(x^\frac{s}{2}+ x^\frac{1-s}{2})\frac{dx}{x} $ is Entire

Closed form of the sum $\sum_{r\ge2}\frac{\zeta(r)}{r^2}$

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