List questions from zeta-functions

Published on 08 Jul 2019 - 16:17

149

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Extending the prime zeta function to negative values

Published on 25 Mar 2026 - 6:31

86

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Value of $\prod_{n>1} \frac{1}{1-\frac{1}{n^s}}$ or $-\sum_{n=2}^{\infty} \log(1-\frac{1}{n^s} )$

Published on 16 Jul 2019 - 8:50

78

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Why the divergent series are acceptables in mathematics?

Published on 20 Jul 2019 - 3:05

225

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Zeta-function of $x_0^3 + x_1^3 + x_2^3 = 0$ over $\mathbb{F}_4$.

Published on 29 Jul 2019 - 12:09

167

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Unit square, Riemann zeta function: $\int_0^1\int_0^1\frac{(-\log(xy))^s}{1-xy}\,dx\,dy = \Gamma(s+2) \zeta(s+2), \operatorname{Re}(s)>1$

Published on 29 Jul 2019 - 16:05

131

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Closed form for $\lim_{n \to \infty} \frac{n!}{\pi^n x^n} \prod_{k=1}^n \sin \frac{\pi x}{k}$

Published on 01 Aug 2019 - 20:50

107

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Do Structured Eigenvalues Help?

Published on 07 Aug 2019 - 8:46

205

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Dedekind zeta function of an imaginary quadratic field

Published on 01 Sep 2019 - 16:54

51

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Is the Hurwitz zeta function in $l^1(\mathbb{N})$?

Published on 04 Sep 2019 - 1:38

141

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Sum of Zeta function with alternating signs

Published on 05 Sep 2019 - 6:00

80

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How to show Euler’s Product?

Published on 07 Sep 2019 - 19:51

872

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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 16 Sep 2019 - 13:41

432

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What's the sum of the reciprocals of the numbers that can be written as the sum of two positive cubes?

Published on 18 Sep 2019 - 22:24

58

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Bound on absolute value of a function containing $\Gamma(z)$ and $\zeta(z)$ function.

Published on 20 Sep 2019 - 16:03

List Question

Exact value for $~ x : \zeta(x) = x$

Extending the prime zeta function to negative values

Value of $\prod_{n>1} \frac{1}{1-\frac{1}{n^s}}$ or $-\sum_{n=2}^{\infty} \log(1-\frac{1}{n^s} )$

Why the divergent series are acceptables in mathematics?

Zeta-function of $x_0^3 + x_1^3 + x_2^3 = 0$ over $\mathbb{F}_4$.

Unit square, Riemann zeta function: $\int_0^1\int_0^1\frac{(-\log(xy))^s}{1-xy}\,dx\,dy = \Gamma(s+2) \zeta(s+2), \operatorname{Re}(s)>1$

Closed form for $\lim_{n \to \infty} \frac{n!}{\pi^n x^n} \prod_{k=1}^n \sin \frac{\pi x}{k}$

Do Structured Eigenvalues Help?

Dedekind zeta function of an imaginary quadratic field

Is the Hurwitz zeta function in $l^1(\mathbb{N})$?

Sum of Zeta function with alternating signs

How to show Euler’s Product?

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

What's the sum of the reciprocals of the numbers that can be written as the sum of two positive cubes?

Bound on absolute value of a function containing $\Gamma(z)$ and $\zeta(z)$ function.

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