Question

How to show that $\gamma=\lim\limits_{n \to \infty}\left(\sum\limits_{k=1}^{n}{\zeta(2k)\over k}\right)-\ln(2n)$

score 264 · Answer 1 · 2026-03-26 13:52:15

264

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How to show that $\gamma=\lim\limits_{n \to \infty}\left(\sum\limits_{k=1}^{n}{\zeta(2k)\over k}\right)-\ln(2n)$

Published on 26 Mar 2026 - 13:52

score 3.8k · Answer 2 · 2017-05-14 02:52:11

3.8k

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Riemann Zeta Function's Analytic Continuation

Published on 14 May 2017 - 2:52

score 65 · Answer 3 · 2026-03-25 22:23:42

65

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On coefficients of L-functions

Published on 25 Mar 2026 - 22:23

score 98 · Answer 4 · 2017-05-16 18:33:23

98

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Is this a valid description of the Riemann Zeta function?

Published on 16 May 2017 - 18:33

score 283 · Answer 5 · 2026-03-30 05:29:09

283

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Is $\zeta(6,2)$ the lowest multiple zeta function that cannot be expressed in terms of single zeta values?

Published on 30 Mar 2026 - 5:29

score 115 · Answer 6 · 2017-05-30 16:54:19

115

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An integral involving powers of logarithms and a dilogarithm.

Published on 30 May 2017 - 16:54

score 465 · Answer 7 · 2026-03-25 20:09:27

465

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"Reverse base" Riemann Zeta Function?

Published on 25 Mar 2026 - 20:09

score 69 · Answer 8 · 2017-06-09 13:54:18

Question on $\zeta $ function : why $s\longmapsto \frac{1}{\zeta (s)}$ is holomorphic on an open that contain $\{s\in\mathbb C\mid \Re(s)\geq 1\}$

score 39 · Answer 9 · 2026-03-25 22:26:00

39

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Local parameter of $L(s,f)$ at infinity $k_j$

Published on 25 Mar 2026 - 22:26

score 5.1k · Answer 10 · 2017-06-15 17:03:02

5.1k

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A list of Multiple Zeta values of depth three

Published on 15 Jun 2017 - 17:03

score 125 · Answer 11 · 2017-06-17 15:47:15

125

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Moments of zeta function/L-functions

Published on 17 Jun 2017 - 15:47

score 138 · Answer 12 · 2026-03-27 06:57:46

138

Views

Characters of a quadratic extension and convergence

Published on 27 Mar 2026 - 6:57

score 104 · Answer 13 · 2026-03-26 04:31:14

104

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Feller-Torier constant equals this sum involving the prime zeta function?

Published on 26 Mar 2026 - 4:31

score 258 · Answer 14 · 2017-06-26 01:39:07

258

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Series $\sum_{n=1}^{\infty} H_n\left[\zeta(8)-\frac{1}{1^8}-\frac{1}{2^8}-\frac{1}{3^8}\cdots\frac{1}{n^8}\right]$

Published on 26 Jun 2017 - 1:39

score 695 · Answer 15 · 2017-07-03 10:11:57

695

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Proof of an identity of the logarithm of the zeta function

Published on 03 Jul 2017 - 10:11

List Question

How to show that $\gamma=\lim\limits_{n \to \infty}\left(\sum\limits_{k=1}^{n}{\zeta(2k)\over k}\right)-\ln(2n)$

Riemann Zeta Function's Analytic Continuation

On coefficients of L-functions

Is this a valid description of the Riemann Zeta function?

Is $\zeta(6,2)$ the lowest multiple zeta function that cannot be expressed in terms of single zeta values?

An integral involving powers of logarithms and a dilogarithm.

"Reverse base" Riemann Zeta Function?

Question on $\zeta $ function : why $s\longmapsto \frac{1}{\zeta (s)}$ is holomorphic on an open that contain $\{s\in\mathbb C\mid \Re(s)\geq 1\}$

Local parameter of $L(s,f)$ at infinity $k_j$

A list of Multiple Zeta values of depth three

Moments of zeta function/L-functions

Characters of a quadratic extension and convergence

Feller-Torier constant equals this sum involving the prime zeta function?

Series $\sum_{n=1}^{\infty} H_n\left[\zeta(8)-\frac{1}{1^8}-\frac{1}{2^8}-\frac{1}{3^8}\cdots\frac{1}{n^8}\right]$

Proof of an identity of the logarithm of the zeta function

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