Question

Where are the zeros of a slightly perturbed Riemann Zeta function?

score 277 · Answer 1 · 2026-03-26 06:07:04

277

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Where are the zeros of a slightly perturbed Riemann Zeta function?

Published on 26 Mar 2026 - 6:07

score 161 · Answer 2 · 2026-04-02 17:36:06

161

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On $\zeta(5)$ and the closed form of $\sum_{n= 1}^\infty \frac{1}{n^5(e^{2\pi n}\pm1)}$?

Published on 02 Apr 2026 - 17:36

score 72 · Answer 3 · 2026-03-29 10:18:36

72

Views

Function $\mathcal{Z}\left(x\right)=\sum_{n=1}^{\infty}n^{-x}\sin\left(n\right)$

Published on 29 Mar 2026 - 10:18

score 131 · Answer 4 · 2023-08-28 04:12:18

131

Views

Limit $\lim_{k\to\infty}\left(\sum_{r=1}^{k-1}\zeta\left(2r\right)\frac{\left(-1\right)^{r+k}}{\left(2k-2r-1\right)!}\right)$

Published on 28 Aug 2023 - 4:12

score 79 · Answer 5 · 2026-03-25 22:04:41

79

Views

Dirichlet series of $\ln(n) \tau(n)$

Published on 25 Mar 2026 - 22:04

score 135 · Answer 6 · 2023-09-02 17:37:29

135

Views

Integral representation of prime zeta function

Published on 02 Sep 2023 - 17:37

score 32 · Answer 7 · 2026-03-25 18:51:09

32

Views

Analytic continuation of sums of Hypergeometric $_3F_2$ function pairs

Published on 25 Mar 2026 - 18:51

score 120 · Answer 8 · 2023-09-02 23:07:16

120

Views

Is this Riemann zeta function equation already known?

Published on 02 Sep 2023 - 23:07

score 76 · Answer 9 · 2026-03-26 16:06:31

76

Views

Prove that this limit is $-2$, which is a trivial zero of the Riemann zeta function.

Published on 26 Mar 2026 - 16:06

score 80 · Answer 10 · 2026-03-31 16:53:31

80

Views

Wolfram wishlist: series of $\Gamma(z)$ in $z=-m$. Cycle index of symmetric groups.

Published on 31 Mar 2026 - 16:53

score 114 · Answer 11 · 2023-09-04 12:09:51

114

Views

Why doesn't $\zeta(s) = \frac{1}{1-2^{1-s}}\eta(s)$ approach $\frac{-1}{2}$ as $s$ approaches $0$?

Published on 04 Sep 2023 - 12:09

score 103 · Answer 12 · 2023-09-05 20:13:20

103

Views

The Book Riemann's Zeta Function by Edwards - Possible Error in Section 1.17?

Published on 05 Sep 2023 - 20:13

score 171 · Answer 13 · 2026-03-26 00:58:51

171

Views

Efficient Formula for $\zeta(3)$

Published on 26 Mar 2026 - 0:58

score 112 · Answer 14 · 2026-03-29 10:18:33

112

Views

Zeros of Riemann's $\xi(t)$

Published on 29 Mar 2026 - 10:18

score 88 · Answer 15 · 2026-03-26 06:10:59

88

Views

Are there any "Lehmer triplets" among the zeros of Riemann zeta function?

Published on 26 Mar 2026 - 6:10

List Question

Where are the zeros of a slightly perturbed Riemann Zeta function?

On $\zeta(5)$ and the closed form of $\sum_{n= 1}^\infty \frac{1}{n^5(e^{2\pi n}\pm1)}$?

Function $\mathcal{Z}\left(x\right)=\sum_{n=1}^{\infty}n^{-x}\sin\left(n\right)$

Limit $\lim_{k\to\infty}\left(\sum_{r=1}^{k-1}\zeta\left(2r\right)\frac{\left(-1\right)^{r+k}}{\left(2k-2r-1\right)!}\right)$

Dirichlet series of $\ln(n) \tau(n)$

Integral representation of prime zeta function

Analytic continuation of sums of Hypergeometric $_3F_2$ function pairs

Is this Riemann zeta function equation already known?

Prove that this limit is $-2$, which is a trivial zero of the Riemann zeta function.

Wolfram wishlist: series of $\Gamma(z)$ in $z=-m$. Cycle index of symmetric groups.

Why doesn't $\zeta(s) = \frac{1}{1-2^{1-s}}\eta(s)$ approach $\frac{-1}{2}$ as $s$ approaches $0$?

The Book Riemann's Zeta Function by Edwards - Possible Error in Section 1.17?

Efficient Formula for $\zeta(3)$

Zeros of Riemann's $\xi(t)$

Are there any "Lehmer triplets" among the zeros of Riemann zeta function?

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