Question

'Inverted' Zeta Function, swapping zeroes and primes

score 101 · Answer 1 · 2026-03-28 10:17:35

101

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'Inverted' Zeta Function, swapping zeroes and primes

Published on 28 Mar 2026 - 10:17

score 126 · Answer 2 · 2026-03-29 04:29:19

126

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Is $\zeta(x)>\frac{1}{x-1}$ when $1<x<2$?

Published on 29 Mar 2026 - 4:29

score 148 · Answer 3 · 2026-03-26 17:30:29

148

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Riemann's zeta function in a definite integral

Published on 26 Mar 2026 - 17:30

score 406 · Answer 4 · 2026-03-31 18:55:40

406

Views

Evaluating series of zeta values like $\sum_{k=1}^{\infty} \frac{\zeta(2k)}{k16^{k}}=\ln(\pi)-\frac{3}{2}\ln(2) $

Published on 31 Mar 2026 - 18:55

score 226 · Answer 5 · 2016-07-17 15:45:37

226

Views

Prove that this limit is the logarithmic derivative of the Riemann zeta function.

Published on 17 Jul 2016 - 15:45

score 307 · Answer 6 · 2016-07-17 16:34:24

307

Views

(Non-)Canonicity of using zeta function to assign values to divergent series

Published on 17 Jul 2016 - 16:34

score 923 · Answer 7 · 2016-07-18 10:48:53

923

Views

Prime Number Theorem and the Riemann Zeta Function

Published on 18 Jul 2016 - 10:48

score 151 · Answer 8 · 2026-03-26 07:33:33

151

Views

Laplace transform of bell-shaped functions

Published on 26 Mar 2026 - 7:33

score 141 · Answer 9 · 2016-07-19 16:22:52

141

Views

Inequality involving sum of logarithms and hidden zeta-function

Published on 19 Jul 2016 - 16:22

score 270 · Answer 10 · 2026-03-25 16:13:55

270

Views

How do we show that $\ln{2}-\gamma=\sum_{n=1}^{\infty}{\zeta(2n+1)\over 2^{2n}(2n+1)}?$

Published on 25 Mar 2026 - 16:13

score 145 · Answer 11 · 2026-03-25 23:39:44

145

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Riemann Hypothesis and $\sum\limits_{k\leq n}\left(\frac{\mu(k)}{k}\right)^2$

Published on 25 Mar 2026 - 23:39

score 1k · Answer 12 · 2026-03-30 08:59:30

1k

Views

elementary ways to show $\zeta(-1) = -1/12$

Published on 30 Mar 2026 - 8:59

score 466 · Answer 13 · 2026-03-29 10:28:52

466

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Evaluating $\zeta'(2)$

Published on 29 Mar 2026 - 10:28

score 4.8k · Answer 14 · 2016-08-06 17:42:58

4.8k

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How to evaluate $\int_0^1\int_0^1 \frac{1}{1-xy} \, dy \, dx$ to prove $\sum_{n=1}^{\infty} \frac{1}{n^2}=\frac{\pi^2}{6}$.

Published on 06 Aug 2016 - 17:42

score 124 · Answer 15 · 2016-08-08 08:46:48

124

Views

Is there an integral representation for $\arctan(x) \zeta(2x)$?

Published on 08 Aug 2016 - 8:46

List Question

'Inverted' Zeta Function, swapping zeroes and primes

Is $\zeta(x)>\frac{1}{x-1}$ when $1<x<2$?

Riemann's zeta function in a definite integral

Evaluating series of zeta values like $\sum_{k=1}^{\infty} \frac{\zeta(2k)}{k16^{k}}=\ln(\pi)-\frac{3}{2}\ln(2) $

Prove that this limit is the logarithmic derivative of the Riemann zeta function.

(Non-)Canonicity of using zeta function to assign values to divergent series

Prime Number Theorem and the Riemann Zeta Function

Laplace transform of bell-shaped functions

Inequality involving sum of logarithms and hidden zeta-function

How do we show that $\ln{2}-\gamma=\sum_{n=1}^{\infty}{\zeta(2n+1)\over 2^{2n}(2n+1)}?$

Riemann Hypothesis and $\sum\limits_{k\leq n}\left(\frac{\mu(k)}{k}\right)^2$

elementary ways to show $\zeta(-1) = -1/12$

Evaluating $\zeta'(2)$

How to evaluate $\int_0^1\int_0^1 \frac{1}{1-xy} \, dy \, dx$ to prove $\sum_{n=1}^{\infty} \frac{1}{n^2}=\frac{\pi^2}{6}$.

Is there an integral representation for $\arctan(x) \zeta(2x)$?

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