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Question about characters ( Section : The Rationality of the Zeta Function associated to $a_0x_0^m+a_1x_1^m+...+a_nx_n^m$ )

score 116 · Answer 1 · 2018-11-23 21:22:41

116

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Question about characters ( Section : The Rationality of the Zeta Function associated to $a_0x_0^m+a_1x_1^m+...+a_nx_n^m$ )

Published on 23 Nov 2018 - 21:22

score 154 · Answer 2 · 2018-11-24 12:15:03

154

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Trying to understand why the zeta function is a rational function under certain conditions. Questions about some equations.

Published on 24 Nov 2018 - 12:15

score 118 · Answer 3 · 2018-11-25 05:31:25

118

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Proving that $\zeta(2)$ is irrational.

Published on 25 Nov 2018 - 5:31

score 127 · Answer 4 · 2018-11-27 05:10:15

127

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A computation in Conrey's paper on Riemann zeta function

Published on 27 Nov 2018 - 5:10

score 183 · Answer 5 · 2018-11-28 07:09:15

183

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Calculating $S=\sum\limits_{n=1}^\infty\left(\frac{1}{\Gamma^2(n+1)}\right)^{{1}/{n}}$

Published on 28 Nov 2018 - 7:09

score 179 · Answer 6 · 2018-11-29 14:47:14

179

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Is this zeta-type function meromorphic?

Published on 29 Nov 2018 - 14:47

score 60 · Answer 7 · 2018-11-30 00:14:20

60

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Is $2 \sum_{n=m+2}^{\infty}\dfrac{1}{n^{\alpha}} \geq \sum_{n=m+1}^{\infty}\dfrac{1}{n^{\alpha}}$?

Published on 30 Nov 2018 - 0:14

score 121 · Answer 8 · 2018-12-04 00:35:00

121

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Zeta like function summing over Gaussian integers in the first quadrant

Published on 04 Dec 2018 - 0:35

score 134 · Answer 9 · 2018-12-09 07:30:03

134

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Find the residue of $\frac{\zeta'(1+s)}{\zeta(1+s)}\frac{x^s}{s}$ at $s=0$

Published on 09 Dec 2018 - 7:30

score 354 · Answer 10 · 2018-12-17 13:50:21

354

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An observation on Non-Trivial Zeros of Riemann Zeta Function.

Published on 17 Dec 2018 - 13:50

score 1.4k · Answer 11 · 2018-12-18 05:33:09

1.4k

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Is there a connection between $\zeta(-1)$ and Ramanujan's calculation of the sum over $\mathbb{N}$?

Published on 18 Dec 2018 - 5:33

score 203 · Answer 12 · 2018-12-20 18:49:12

203

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On the logarithm of the fractional part Integral

Published on 20 Dec 2018 - 18:49

score 84 · Answer 13 · 2018-12-20 19:32:40

84

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Solution to $\int_0^1 \left(\frac{\ln(x)}{1-x}\right)^2dx$ in a closed form.

Published on 20 Dec 2018 - 19:32

score 46 · Answer 14 · 2018-12-25 19:36:18

46

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$\chi$ varies over characters of $F$ of order dividing $m$, $\chi^{'}$ varies over characters of $F_s$ of order dividing $m$

Published on 25 Dec 2018 - 19:36

score 308 · Answer 15 · 2026-03-23 02:59:04

308

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Alternative proof for $\zeta\left(2,\frac14\right)=\psi^{(1)}\left(\frac14\right)=\pi^2+8G$

Published on 23 Mar 2026 - 2:59

List Question

Question about characters ( Section : The Rationality of the Zeta Function associated to $a_0x_0^m+a_1x_1^m+...+a_nx_n^m$ )

Trying to understand why the zeta function is a rational function under certain conditions. Questions about some equations.

Proving that $\zeta(2)$ is irrational.

A computation in Conrey's paper on Riemann zeta function

Calculating $S=\sum\limits_{n=1}^\infty\left(\frac{1}{\Gamma^2(n+1)}\right)^{{1}/{n}}$

Is this zeta-type function meromorphic?

Is $2 \sum_{n=m+2}^{\infty}\dfrac{1}{n^{\alpha}} \geq \sum_{n=m+1}^{\infty}\dfrac{1}{n^{\alpha}}$?

Zeta like function summing over Gaussian integers in the first quadrant

Find the residue of $\frac{\zeta'(1+s)}{\zeta(1+s)}\frac{x^s}{s}$ at $s=0$

An observation on Non-Trivial Zeros of Riemann Zeta Function.

Is there a connection between $\zeta(-1)$ and Ramanujan's calculation of the sum over $\mathbb{N}$?

On the logarithm of the fractional part Integral

Solution to $\int_0^1 \left(\frac{\ln(x)}{1-x}\right)^2dx$ in a closed form.

$\chi$ varies over characters of $F$ of order dividing $m$, $\chi^{'}$ varies over characters of $F_s$ of order dividing $m$

Alternative proof for $\zeta\left(2,\frac14\right)=\psi^{(1)}\left(\frac14\right)=\pi^2+8G$

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