Question

Double sum and zeta function

score 1.6k · Answer 1 · 2015-01-17 20:27:10

1.6k

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Double sum and zeta function

Published on 17 Jan 2015 - 20:27

score 56 · Answer 2 · 2015-01-23 05:00:00

56

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Comprehensive summary of where the function $\pi^{-\frac x\pi}$ can be encountered

Published on 23 Jan 2015 - 5:00

score 128 · Answer 3 · 2015-01-23 10:33:47

128

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$\zeta(2)$ Euler's proof (Basel problem)

Published on 23 Jan 2015 - 10:33

score 165 · Answer 4 · 2026-03-29 15:16:02

165

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Moving the integral $Q(x) = -\frac{e^{-1/2x}}{4i}\int_{1/2-i\infty}^{1/2+i\infty} \zeta(s)\Gamma(\frac{s}{2})\pi^{-s/2}e^{xs} ds$ past Re(s) = 1.

Published on 29 Mar 2026 - 15:16

score 28 · Answer 5 · 2015-01-24 10:15:35

28

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how to prove $\Phi(t)$ is divergent when $Im(t)=\pi/2$?

Published on 24 Jan 2015 - 10:15

score 206 · Answer 6 · 2015-01-29 13:58:17

206

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Understanding a series representation of the logarithm of the zeta function

Published on 29 Jan 2015 - 13:58

score 763 · Answer 7 · 2026-03-25 12:44:15

763

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Has the Riemann Hypothesis been generalized to the Octonions and the Quaternions?

Published on 25 Mar 2026 - 12:44

score 609 · Answer 8 · 2015-02-05 23:23:39

609

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Divisor and Riemann Zeta functions series proofs

Published on 05 Feb 2015 - 23:23

score 366 · Answer 9 · 2015-02-10 06:01:56

366

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How to compute $\int_0^{\infty} \ln (1 + e^{-x})\, dx$ and $\int_0^{\infty} \ln (1 - e^{-x})\, dx$?

Published on 10 Feb 2015 - 6:01

score 383 · Answer 10 · 2015-02-10 08:25:46

383

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At what hight is the nth zero Riemann zeta function?

Published on 10 Feb 2015 - 8:25

score 387 · Answer 11 · 2015-02-12 11:38:03

387

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Curve profile for the logarithm-integral sum term of Riemann explicit formula?

Published on 12 Feb 2015 - 11:38

score 533 · Answer 12 · 2026-03-25 10:52:57

533

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Riemann Hypothesis: Proving a relation between $\psi(x)$ and $\pi(x)$

Published on 25 Mar 2026 - 10:52

score 282 · Answer 13 · 2015-02-16 18:37:11

282

Views

Strange sum involving $\zeta (3)$

Published on 16 Feb 2015 - 18:37

score 60 · Answer 14 · 2015-02-17 16:07:42

60

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Properties of $\underset{k\geq1}{\sum}\frac{1}{\left(2k-1\right)^{s}}$

Published on 17 Feb 2015 - 16:07

score 115 · Answer 15 · 2015-02-19 14:28:51

115

Views

What is known about the complex solutions to $\zeta(s)=-1$?

Published on 19 Feb 2015 - 14:28

List Question

Double sum and zeta function

Comprehensive summary of where the function $\pi^{-\frac x\pi}$ can be encountered

$\zeta(2)$ Euler's proof (Basel problem)

Moving the integral $Q(x) = -\frac{e^{-1/2x}}{4i}\int_{1/2-i\infty}^{1/2+i\infty} \zeta(s)\Gamma(\frac{s}{2})\pi^{-s/2}e^{xs} ds$ past Re(s) = 1.

how to prove $\Phi(t)$ is divergent when $Im(t)=\pi/2$?

Understanding a series representation of the logarithm of the zeta function

Has the Riemann Hypothesis been generalized to the Octonions and the Quaternions?

Divisor and Riemann Zeta functions series proofs

How to compute $\int_0^{\infty} \ln (1 + e^{-x})\, dx$ and $\int_0^{\infty} \ln (1 - e^{-x})\, dx$?

At what hight is the nth zero Riemann zeta function?

Curve profile for the logarithm-integral sum term of Riemann explicit formula?

Riemann Hypothesis: Proving a relation between $\psi(x)$ and $\pi(x)$

Strange sum involving $\zeta (3)$

Properties of $\underset{k\geq1}{\sum}\frac{1}{\left(2k-1\right)^{s}}$

What is known about the complex solutions to $\zeta(s)=-1$?

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