Question

Dirichlet series generated by $\mu(n) / \phi(n)$

score 191 · Answer 1 · 2026-03-25 01:21:46

191

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Dirichlet series generated by $\mu(n) / \phi(n)$

Published on 25 Mar 2026 - 1:21

score 229 · Answer 2 · 2018-06-02 05:07:03

229

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Proving $\int_0^\infty\frac{e^x-1}{x(e^x+1)^2}dx=6\ln A-\frac12-\frac16\ln2-\frac12\ln\pi$

Published on 02 Jun 2018 - 5:07

score 209 · Answer 3 · 2026-03-25 04:41:39

209

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Why does this graph of $\frac{\pi^{2n-1}}{\zeta(2n-1)}$ look like this past $x=16$?

Published on 25 Mar 2026 - 4:41

score 408 · Answer 4 · 2018-06-03 17:10:40

408

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Basel Problem - Area of $\frac 16$ of Circle with Radius $\sqrt{\pi}$.

Published on 03 Jun 2018 - 17:10

score 50 · Answer 5 · 2018-06-05 16:49:36

50

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Zeroes of $L(s,q)=\prod_{\chi(\text{mod}\ q)}L(s,\chi)$ in a rectengle

Published on 05 Jun 2018 - 16:49

score 242 · Answer 6 · 2018-06-06 21:40:34

242

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Basic question about the zeros of Riemann Zeta Function

Published on 06 Jun 2018 - 21:40

score 95 · Answer 7 · 2026-03-22 19:29:40

95

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Can the multiplication formula for the Hurwitz zeta function be extended to include this sum?

Published on 22 Mar 2026 - 19:29

score 1.3k · Answer 8 · 2018-06-08 15:35:58

1.3k

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Convergence criteria for real Riemann zeta function

Published on 08 Jun 2018 - 15:35

score 132 · Answer 9 · 2018-06-08 20:26:38

132

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Zeros of Riemann Zeta Function

Published on 08 Jun 2018 - 20:26

score 52 · Answer 10 · 2018-06-08 21:29:15

For Riemann's zeta function if one proves a relation in the domain $\text{Re}(s)>1$ will this be enough to prove it is satisfied in all the z domain

score 107 · Answer 11 · 2026-03-25 17:19:13

107

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Extention of Totient Function to Reals

Published on 25 Mar 2026 - 17:19

score 303 · Answer 12 · 2026-03-27 17:52:56

303

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Integral $I_m=\int_0^1 \frac{x^m-x}{\sin \pi x} \:dx $ expressed as finite sum of $\frac{r_n \zeta(2n+1)}{\pi^{2n+1}}$

Published on 27 Mar 2026 - 17:52

score 62 · Answer 13 · 2018-06-13 03:57:11

62

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Sum of Zetas Inequality

Published on 13 Jun 2018 - 3:57

score 137 · Answer 14 · 2018-06-13 19:12:46

137

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Error on MathWorld: $\sum_{n=1}^\infty (\zeta(4n)-1) = \frac{1}{8}(7-2\coth \pi)$

Published on 13 Jun 2018 - 19:12

score 617 · Answer 15 · 2018-06-15 08:14:05

617

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Irrationality of the values of the prime zeta function

Published on 15 Jun 2018 - 8:14

List Question

Dirichlet series generated by $\mu(n) / \phi(n)$

Proving $\int_0^\infty\frac{e^x-1}{x(e^x+1)^2}dx=6\ln A-\frac12-\frac16\ln2-\frac12\ln\pi$

Why does this graph of $\frac{\pi^{2n-1}}{\zeta(2n-1)}$ look like this past $x=16$?

Basel Problem - Area of $\frac 16$ of Circle with Radius $\sqrt{\pi}$.

Zeroes of $L(s,q)=\prod_{\chi(\text{mod}\ q)}L(s,\chi)$ in a rectengle

Basic question about the zeros of Riemann Zeta Function

Can the multiplication formula for the Hurwitz zeta function be extended to include this sum?

Convergence criteria for real Riemann zeta function

Zeros of Riemann Zeta Function

For Riemann's zeta function if one proves a relation in the domain $\text{Re}(s)>1$ will this be enough to prove it is satisfied in all the z domain

Extention of Totient Function to Reals

Integral $I_m=\int_0^1 \frac{x^m-x}{\sin \pi x} \:dx $ expressed as finite sum of $\frac{r_n \zeta(2n+1)}{\pi^{2n+1}}$

Sum of Zetas Inequality

Error on MathWorld: $\sum_{n=1}^\infty (\zeta(4n)-1) = \frac{1}{8}(7-2\coth \pi)$

Irrationality of the values of the prime zeta function

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