Question

Does the funcitonal equation of the zeta function apply for all reals?

score 89 · Answer 1 · 2013-12-14 07:47:36

89

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Does the funcitonal equation of the zeta function apply for all reals?

Published on 14 Dec 2013 - 7:47

score 351 · Answer 2 · 2013-12-14 19:03:42

351

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Reflections of zeros of zeta function in the critical strip

Published on 14 Dec 2013 - 19:03

score 119 · Answer 3 · 2013-12-14 19:26:41

119

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Limit $(t-1)\zeta(t)$ as $t\rightarrow 1^+$

Published on 14 Dec 2013 - 19:26

score 221 · Answer 4 · 2013-12-14 21:55:46

221

Views

How generalize the alternating Möbius function?

Published on 14 Dec 2013 - 21:55

score 87 · Answer 5 · 2026-04-02 20:51:04

87

Views

Series divergence - how precise should the answer be

Published on 02 Apr 2026 - 20:51

score 1.2k · Answer 6 · 2013-12-17 02:59:21

1.2k

Views

$(1-2^{1-s})\zeta(s)$ is an entire function

Published on 17 Dec 2013 - 2:59

score 584 · Answer 7 · 2013-12-17 13:56:29

584

Views

Infinite Series $\sum\limits_{n=1}^\infty\frac{\zeta(3n)}{2^{3n}}$

Published on 17 Dec 2013 - 13:56

score 153 · Answer 8 · 2013-12-18 05:04:38

153

Views

Unconventional way, how to expand to Maclaurin series

Published on 18 Dec 2013 - 5:04

score 604 · Answer 9 · 2026-04-02 17:31:24

604

Views

Proving that $\left(\frac{\pi}{2}\right)^{2}=1+\sum_{k=1}^{\infty}\frac{(2k-1)\zeta(2k)}{2^{2k-1}}$.

Published on 02 Apr 2026 - 17:31

score 5.3k · Answer 10 · 2026-03-29 11:50:14

5.3k

Views

Proving that $\frac{\pi^{3}}{32}=1-\sum_{k=1}^{\infty}\frac{2k(2k+1)\zeta(2k+2)}{4^{2k+2}}$

Published on 29 Mar 2026 - 11:50

score 210 · Answer 11 · 2013-12-20 01:47:36

210

Views

Is there a name for this constant?

Published on 20 Dec 2013 - 1:47

score 1k · Answer 12 · 2013-12-24 04:05:35

1k

Views

Is this closed form expression of $\zeta(3)$ correct?

Published on 24 Dec 2013 - 4:05

score 371 · Answer 13 · 2013-12-25 08:26:24

371

Views

Closed form for $\sum\limits_{k=1}^{\infty}\zeta(4k-2)-\zeta(4k)$

Published on 25 Dec 2013 - 8:26

score 1.7k · Answer 14 · 2013-12-30 23:53:10

1.7k

Views

Formula for $\zeta(3)$ -verification

Published on 30 Dec 2013 - 23:53

score 781 · Answer 15 · 2026-03-30 04:56:36

781

Views

what the RH equivalent for Riemann prime formula $\Pi(x)$?

Published on 30 Mar 2026 - 4:56

List Question

Does the funcitonal equation of the zeta function apply for all reals?

Reflections of zeros of zeta function in the critical strip

Limit $(t-1)\zeta(t)$ as $t\rightarrow 1^+$

How generalize the alternating Möbius function?

Series divergence - how precise should the answer be

$(1-2^{1-s})\zeta(s)$ is an entire function

Infinite Series $\sum\limits_{n=1}^\infty\frac{\zeta(3n)}{2^{3n}}$

Unconventional way, how to expand to Maclaurin series

Proving that $\left(\frac{\pi}{2}\right)^{2}=1+\sum_{k=1}^{\infty}\frac{(2k-1)\zeta(2k)}{2^{2k-1}}$.

Proving that $\frac{\pi^{3}}{32}=1-\sum_{k=1}^{\infty}\frac{2k(2k+1)\zeta(2k+2)}{4^{2k+2}}$

Is there a name for this constant?

Is this closed form expression of $\zeta(3)$ correct?

Closed form for $\sum\limits_{k=1}^{\infty}\zeta(4k-2)-\zeta(4k)$

Formula for $\zeta(3)$ -verification

what the RH equivalent for Riemann prime formula $\Pi(x)$?

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