Question

$\sum_{n=1}^{4000000} \frac{1}{n^3}$ very quick.

score 172 · Answer 1 · 2026-03-23 01:36:39

172

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$\sum_{n=1}^{4000000} \frac{1}{n^3}$ very quick.

Published on 23 Mar 2026 - 1:36

score 736 · Answer 2 · 2018-09-27 12:22:05

736

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Show that $\frac3{16}\sum\limits_{n\ge1}\frac{(-1)^n-8}{n^3}=-\frac{105}{64}\zeta(3)$

Published on 27 Sep 2018 - 12:22

score 310 · Answer 3 · 2026-03-25 01:14:21

310

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Deriving the closed form of Gamma function using Euler-Chi function

Published on 25 Mar 2026 - 1:14

score 262 · Answer 4 · 2026-03-25 03:03:07

262

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Questions related to Moebius Transform of Characteristic Function of the Primes

Published on 25 Mar 2026 - 3:03

score 97 · Answer 5 · 2018-10-03 01:07:31

97

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Proof check of $\zeta(2n)=(-1)^{n+1}\frac{2^{2n-1}B_{2n}\pi^{2n}}{(2n)!}$

Published on 03 Oct 2018 - 1:07

score 542 · Answer 6 · 2026-02-23 02:59:28

542

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Can the exact number of twin primes $\leq n$ be proved using a "twin-prime zeta function"?

Published on 23 Feb 2026 - 2:59

score 573 · Answer 7 · 2026-03-22 20:34:09

573

Views

Identity involving the Möbius function and the first derivative of the Riemann zeta function

Published on 22 Mar 2026 - 20:34

score 560 · Answer 8 · 2026-03-22 20:09:35

560

Views

Why can we not establish the irrationality of Catalan's constant the same way as $\zeta(3)$?

Published on 22 Mar 2026 - 20:09

score 288 · Answer 9 · 2018-10-08 13:10:36

288

Views

How can I derive this fast-converging series formula for $\zeta(4)$?

Published on 08 Oct 2018 - 13:10

score 47 · Answer 10 · 2026-03-25 01:17:24

47

Views

How Riemann made Z(s) to converge for s>0?

Published on 25 Mar 2026 - 1:17

score 176 · Answer 11 · 2026-03-25 16:39:59

176

Views

Calculating the $\sum_{x=1}^\infty\left[\prod_{k=0}^s{s\choose k}x^k\right]^{-1}$

Published on 25 Mar 2026 - 16:39

score 253 · Answer 12 · 2018-10-13 12:28:56

253

Views

Using the functional equation of the Zeta function to compute positive integer values

Published on 13 Oct 2018 - 12:28

score 447 · Answer 13 · 2026-03-25 16:03:41

447

Views

Undersanding definition of Riemann-Stieltjes Integral used in Edwards book

Published on 25 Mar 2026 - 16:03

score 289 · Answer 14 · 2018-10-14 02:38:58

289

Views

$\int_{-\infty}^{\infty}\frac{\arctan\sqrt{x^2+2}}{(x^2+1)\sqrt{x^2+2}}dx=\zeta(2)$ Without Feynman Integration

Published on 14 Oct 2018 - 2:38

score 169 · Answer 15 · 2026-03-25 03:07:20

169

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Riemann Zeta function, nontrivial zeroes

Published on 25 Mar 2026 - 3:07

List Question

$\sum_{n=1}^{4000000} \frac{1}{n^3}$ very quick.

Show that $\frac3{16}\sum\limits_{n\ge1}\frac{(-1)^n-8}{n^3}=-\frac{105}{64}\zeta(3)$

Deriving the closed form of Gamma function using Euler-Chi function

Questions related to Moebius Transform of Characteristic Function of the Primes

Proof check of $\zeta(2n)=(-1)^{n+1}\frac{2^{2n-1}B_{2n}\pi^{2n}}{(2n)!}$

Can the exact number of twin primes $\leq n$ be proved using a "twin-prime zeta function"?

Identity involving the Möbius function and the first derivative of the Riemann zeta function

Why can we not establish the irrationality of Catalan's constant the same way as $\zeta(3)$?

How can I derive this fast-converging series formula for $\zeta(4)$?

How Riemann made Z(s) to converge for s>0?

Calculating the $\sum_{x=1}^\infty\left[\prod_{k=0}^s{s\choose k}x^k\right]^{-1}$

Using the functional equation of the Zeta function to compute positive integer values

Undersanding definition of Riemann-Stieltjes Integral used in Edwards book

$\int_{-\infty}^{\infty}\frac{\arctan\sqrt{x^2+2}}{(x^2+1)\sqrt{x^2+2}}dx=\zeta(2)$ Without Feynman Integration

Riemann Zeta function, nontrivial zeroes

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