Question

Solving $\sum_{n=1}^{\infty} \frac{1}{n^2}$ using the fourier series.

score 421 · Answer 1 · 2014-11-04 16:30:53

421

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Solving $\sum_{n=1}^{\infty} \frac{1}{n^2}$ using the fourier series.

Published on 04 Nov 2014 - 16:30

score 709 · Answer 2 · 2014-11-09 14:06:42

709

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Proof of $\sum_{n=1,3,5,\ldots}^{\infty}\frac{1}{n^4}=\frac{\pi^4}{96}$

Published on 09 Nov 2014 - 14:06

score 104 · Answer 3 · 2014-11-10 06:20:54

104

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a question related to using Hurwitz theorem to bound the locations of zeros of Riemann zeta function

Published on 10 Nov 2014 - 6:20

score 326 · Answer 4 · 2026-03-25 01:18:09

326

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My (divergent) summation of the zetas with sets of cofactors give systematically errors of simple integer differences. What am I missing?

Published on 25 Mar 2026 - 1:18

score 121 · Answer 5 · 2014-11-11 14:48:33

121

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How to prove that $ \lim_{u \downarrow 1} (u-1) \zeta(u) =1 $?

Published on 11 Nov 2014 - 14:48

score 172 · Answer 6 · 2026-03-25 19:02:17

172

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Why the poisson summation formula works

Published on 25 Mar 2026 - 19:02

score 363 · Answer 7 · 2014-11-14 08:15:55

363

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Contradicting statements about the Riemann zeta function at positive odd integers

Published on 14 Nov 2014 - 8:15

score 164 · Answer 8 · 2014-11-14 14:16:56

164

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$0=\frac{13+13^2+13^3+\cdots}{1+2+3+\cdots}$ using infinite sums?

Published on 14 Nov 2014 - 14:16

score 328 · Answer 9 · 2026-03-25 14:25:21

328

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Is this claim true$(\xi \circ k)(s)=(k \circ \xi )(s)=0$ $\implies$ $k(s)=\zeta(s)=0 $ is true if and only if the Riemann Hypothesis is false?

Published on 25 Mar 2026 - 14:25

score 533 · Answer 10 · 2026-03-25 09:26:09

533

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Is this similarity just a coincidence?

Published on 25 Mar 2026 - 9:26

score 2.1k · Answer 11 · 2026-03-28 00:48:38

2.1k

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Prove that $\zeta(4)=\pi^4/90$

Published on 28 Mar 2026 - 0:48

score 897 · Answer 12 · 2026-03-30 02:05:32

897

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A Deviation from a Conventional Proof of the Basel Problem

Published on 30 Mar 2026 - 2:05

score 305 · Answer 13 · 2014-11-21 08:45:16

305

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Taylor's results on zeros of the linear combination of Gamma-completed Riemann Zeta functions

Published on 21 Nov 2014 - 8:45

score 2k · Answer 14 · 2026-03-29 15:37:16

2k

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Euler and the factorial function

Published on 29 Mar 2026 - 15:37

score 795 · Answer 15 · 2014-11-25 10:00:56

795

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Infinite series and the Riemann zeta function

Published on 25 Nov 2014 - 10:00

List Question

Solving $\sum_{n=1}^{\infty} \frac{1}{n^2}$ using the fourier series.

Proof of $\sum_{n=1,3,5,\ldots}^{\infty}\frac{1}{n^4}=\frac{\pi^4}{96}$

a question related to using Hurwitz theorem to bound the locations of zeros of Riemann zeta function

My (divergent) summation of the zetas with sets of cofactors give systematically errors of simple integer differences. What am I missing?

How to prove that $ \lim_{u \downarrow 1} (u-1) \zeta(u) =1 $?

Why the poisson summation formula works

Contradicting statements about the Riemann zeta function at positive odd integers

$0=\frac{13+13^2+13^3+\cdots}{1+2+3+\cdots}$ using infinite sums?

Is this claim true$(\xi \circ k)(s)=(k \circ \xi )(s)=0$ $\implies$ $k(s)=\zeta(s)=0 $ is true if and only if the Riemann Hypothesis is false?

Is this similarity just a coincidence?

Prove that $\zeta(4)=\pi^4/90$

A Deviation from a Conventional Proof of the Basel Problem

Taylor's results on zeros of the linear combination of Gamma-completed Riemann Zeta functions

Euler and the factorial function

Infinite series and the Riemann zeta function

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