Question

Why is $\pi$ the Limit of the Absolute Value of the Prime $\zeta$ Function?

score 548 · Answer 1 · 2026-04-12 16:18:33

548

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Why is $\pi$ the Limit of the Absolute Value of the Prime $\zeta$ Function?

Published on 12 Apr 2026 - 16:18

score 93 · Answer 2 · 2026-04-14 18:05:00

93

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integral with bessel function represented as a series

Published on 14 Apr 2026 - 18:05

score 735 · Answer 3 · 2026-04-16 11:40:40

735

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On the Dirichlet beta function sum $\sum_{k=2}^\infty\Big[1-\beta(k) \Big]$

Published on 16 Apr 2026 - 11:40

score 368 · Answer 4 · 2026-04-11 02:40:23

368

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Riemann zeta sums and harmonic numbers

Published on 11 Apr 2026 - 2:40

score 90 · Answer 5 · 2026-04-14 15:34:14

90

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Is this formula for $ \sum_{n} (n^{2}+z^{2})^{-s} $ correct?

Published on 14 Apr 2026 - 15:34

score 1.2k · Answer 6 · 2026-04-17 11:41:57

1.2k

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Approximate $\int_a^b \frac{1}{\sqrt{2 \pi \sigma^2}}e^{-(x-\mu)^2/2 \sigma^2}\log(1+e^{-x}) \ \ dx $

Published on 17 Apr 2026 - 11:41

score 318 · Answer 7 · 2026-04-16 05:37:29

318

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To find closed form of $\int_0^{\frac{\pi}{2}} e^{-x\tan t+\alpha t} \;dt $

Published on 16 Apr 2026 - 5:37

score 6.4k · Answer 8 · 2026-04-10 05:28:26

6.4k

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Are Complex Substitutions Legal in Integration?

Published on 10 Apr 2026 - 5:28

score 1.1k · Answer 9 · 2026-04-14 22:11:34

1.1k

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Does $\left(n^2 \sin n\right)$ have a convergent subsequence?

Published on 14 Apr 2026 - 22:11

score 115 · Answer 10 · 2026-04-15 02:35:07

115

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Finding a general coefficient in the multiplication of the two series

Published on 15 Apr 2026 - 2:35

score 1.1k · Answer 11 · 2026-04-12 02:48:29

1.1k

Views

Evaluation of $\sum_{n=1}^\infty \frac{1}{\Gamma (n+s)}$

Published on 12 Apr 2026 - 2:48

score 746 · Answer 12 · 2026-04-15 07:19:31

746

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An infinite product for $\left(\frac{\eta(13\tau)}{\eta(\tau)}\right)^2$?

Published on 15 Apr 2026 - 7:19

score 894 · Answer 13 · 2026-04-16 16:31:33

894

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Solving $(t^2+1)(y''-2y+1)=e^t$ with the initial conditions: $y(0)=y'(0)=1$

Published on 16 Apr 2026 - 16:31

score 288 · Answer 14 · 2026-04-15 19:08:11

288

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Is there an infinite product for $\left(\frac{\eta(13\tau)}{\eta(\tau)}\right)^2$ analogous to the Rogers-Ramanujan identity?

Published on 15 Apr 2026 - 19:08

score 3.8k · Answer 15 · 2026-04-13 21:31:35

3.8k

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Calculate integrals involving gamma function

Published on 13 Apr 2026 - 21:31

List Question

Why is $\pi$ the Limit of the Absolute Value of the Prime $\zeta$ Function?

integral with bessel function represented as a series

On the Dirichlet beta function sum $\sum_{k=2}^\infty\Big[1-\beta(k) \Big]$

Riemann zeta sums and harmonic numbers

Is this formula for $ \sum_{n} (n^{2}+z^{2})^{-s} $ correct?

Approximate $\int_a^b \frac{1}{\sqrt{2 \pi \sigma^2}}e^{-(x-\mu)^2/2 \sigma^2}\log(1+e^{-x}) \ \ dx $

To find closed form of $\int_0^{\frac{\pi}{2}} e^{-x\tan t+\alpha t} \;dt $

Are Complex Substitutions Legal in Integration?

Does $\left(n^2 \sin n\right)$ have a convergent subsequence?

Finding a general coefficient in the multiplication of the two series

Evaluation of $\sum_{n=1}^\infty \frac{1}{\Gamma (n+s)}$

An infinite product for $\left(\frac{\eta(13\tau)}{\eta(\tau)}\right)^2$?

Solving $(t^2+1)(y''-2y+1)=e^t$ with the initial conditions: $y(0)=y'(0)=1$

Is there an infinite product for $\left(\frac{\eta(13\tau)}{\eta(\tau)}\right)^2$ analogous to the Rogers-Ramanujan identity?

Calculate integrals involving gamma function

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