List questions from zeta-functions

Published on 16 Apr 2026 - 9:44

152

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Extending the prime zeta function to negative values

Published on 11 May 2026 - 0:02

89

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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 Apr 2026 - 16:38

81

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Why the divergent series are acceptables in mathematics?

Published on 09 Apr 2026 - 21:22

228

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

Published on 16 Apr 2026 - 3:07

170

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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 16 Apr 2026 - 19:21

134

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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 16 Apr 2026 - 3:45

110

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Do Structured Eigenvalues Help?

Published on 12 Apr 2026 - 7:46

210

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Dedekind zeta function of an imaginary quadratic field

Published on 17 Apr 2026 - 3:40

54

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

Published on 12 Apr 2026 - 13:27

144

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Sum of Zeta function with alternating signs

Published on 09 Apr 2026 - 13:45

86

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How to show Euler’s Product?

Published on 10 May 2026 - 14:37

875

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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 Apr 2026 - 11:49

435

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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 13 Apr 2026 - 1:29

61

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

Published on 13 Apr 2026 - 18:16

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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