List questions from zeta-functions

Published on 27 Mar 2026 - 5:38

134

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Ramanujan's claim

Published on 13 Feb 2013 - 5:56

87

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Computing single summands of a zeta function

Published on 14 Feb 2013 - 21:08

553

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Why do authors claim that Euler gave no proof to his "$\sin(\pi x)= \pi x\prod\limits_{k=1}^{\infty}\left(1-\frac{x^2}{k^2} \right )$" when...

Published on 26 Mar 2026 - 6:22

621

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Serre's proof that zeta function is meromorphic

Published on 21 Feb 2013 - 14:57

1.7k

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Why $p$-adically interpolate?

Published on 28 Mar 2026 - 23:55

223

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Is the infinite sum $\sum_{s=2}^\infty \frac{\zeta(s)}{s!}$ known? If so, what is its value?

Published on 21 Mar 2013 - 20:41

482

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Curious $\sum _{n=1}^{\infty} \frac{1}{n^2 - x^2}$ identity

Published on 28 Mar 2013 - 8:32

97

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On $\int_0^{2\pi }\frac{\prod_{k=1}^m \text{Li}_{a_k}(e^{-ix})-\prod_{k=1}^m \text{Li}_{a_k}(e^{ix})}{e^{-ix}-e^{ix}} \, dx$

Published on 28 Mar 2026 - 5:22

96

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Are there any known rigid properties of the counterexample zeroes to RH assuming the failure of RH?

Published on 26 Mar 2026 - 22:55

66

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Symbolic sum similar to Zeta function or harmonic number

Published on 26 Mar 2026 - 7:53

72

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Why $\dim_{\mathbb{F}_q} H^0(X,D)^\sigma = \dim_{\mathbb{F}}H^0(X,D)$?

Published on 26 Mar 2026 - 18:57

154

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Taylor expansion of Dedekind zeta function at $s=0$.

Published on 18 Aug 2020 - 14:12

143

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Abelian group zeta function

Published on 26 Mar 2026 - 6:17

58

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Question about poles of the Lerch Transcendent

Published on 26 Mar 2026 - 23:11

List Question

Convergence of the Fourier Transform of the Prime $\zeta$ Functions

Ramanujan's claim

Computing single summands of a zeta function

Why do authors claim that Euler gave no proof to his "$\sin(\pi x)= \pi x\prod\limits_{k=1}^{\infty}\left(1-\frac{x^2}{k^2} \right )$" when...

Serre's proof that zeta function is meromorphic

Why $p$-adically interpolate?

Is the infinite sum $\sum_{s=2}^\infty \frac{\zeta(s)}{s!}$ known? If so, what is its value?

Curious $\sum _{n=1}^{\infty} \frac{1}{n^2 - x^2}$ identity

On $\int_0^{2\pi }\frac{\prod_{k=1}^m \text{Li}_{a_k}(e^{-ix})-\prod_{k=1}^m \text{Li}_{a_k}(e^{ix})}{e^{-ix}-e^{ix}} \, dx$

Are there any known rigid properties of the counterexample zeroes to RH assuming the failure of RH?

Symbolic sum similar to Zeta function or harmonic number

Why $\dim_{\mathbb{F}_q} H^0(X,D)^\sigma = \dim_{\mathbb{F}}H^0(X,D)$?

Taylor expansion of Dedekind zeta function at $s=0$.

Abelian group zeta function

Question about poles of the Lerch Transcendent

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