Question

What is the sign of the generalized Stieltjes constants $\gamma_{k}(a)$?

score 181 · Answer 1 · 2026-03-21 05:42:05

181

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What is the sign of the generalized Stieltjes constants $\gamma_{k}(a)$?

Published on 21 Mar 2026 - 5:42

score 744 · Answer 2 · 2026-03-25 11:25:05

744

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Riemann Zeta Function Analytic Continuation

Published on 25 Mar 2026 - 11:25

score 83 · Answer 3 · 2014-08-01 16:11:39

Are there any Riemann zeta like functions that may have nontrivial zeros on the critical line but only involves integers up to $N$?

score 445 · Answer 4 · 2026-03-25 04:40:12

445

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Values of derivatives of Jacobi theta function

Published on 25 Mar 2026 - 4:40

score 613 · Answer 5 · 2014-08-04 10:30:58

613

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Riemann Zeta Function On Line Re(s)=1

Published on 04 Aug 2014 - 10:30

score 142 · Answer 6 · 2026-03-25 16:07:18

142

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Difference between Eulers product and Zeta Function at a finite values

Published on 25 Mar 2026 - 16:07

score 1.9k · Answer 7 · 2014-08-08 16:57:47

1.9k

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A cotangent series related to the zeta function

Published on 08 Aug 2014 - 16:57

score 187 · Answer 8 · 2014-08-09 10:48:10

187

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Limit of differences of truncated series and integrals give Euler-gamma, zeta and logs. Why?

Published on 09 Aug 2014 - 10:48

score 1.2k · Answer 9 · 2026-03-26 12:46:59

1.2k

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An outrageous way to derive a Laurent series: why does this work?

Published on 26 Mar 2026 - 12:46

score 661 · Answer 10 · 2014-08-12 23:39:51

661

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How to evaluate a certain definite integral: $\int_{0}^{\infty}\frac{\log(x)}{e^{x}+1}dx$

Published on 12 Aug 2014 - 23:39

score 62 · Answer 11 · 2014-08-14 23:22:41

62

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Convergence of $\sum_{n=1}^{\infty} n$ and integral test

Published on 14 Aug 2014 - 23:22

score 433 · Answer 12 · 2014-08-16 00:13:44

433

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Upper and lower bounds for the smallest zero of a function

Published on 16 Aug 2014 - 0:13

score 131 · Answer 13 · 2026-03-25 19:04:15

131

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Intuitive explanation for $\zeta (2)=\frac{\pi^2}{6}$

Published on 25 Mar 2026 - 19:04

score 235 · Answer 14 · 2014-08-24 18:02:37

235

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Is it true that $\int_0^1 \lfloor x^{-1} \rfloor^{-1} x^n dx = \frac{1}{n+1}(\zeta(2)+\zeta(3) + \dots + \zeta(n+2) ) - 1$?

Published on 24 Aug 2014 - 18:02

score 468 · Answer 15 · 2014-08-25 08:10:42

468

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How would you show that the Riemann Zeta function, $\zeta(s) < 0$ for $s \in (0,1)$?

Published on 25 Aug 2014 - 8:10

List Question

What is the sign of the generalized Stieltjes constants $\gamma_{k}(a)$?

Riemann Zeta Function Analytic Continuation

Are there any Riemann zeta like functions that may have nontrivial zeros on the critical line but only involves integers up to $N$?

Values of derivatives of Jacobi theta function

Riemann Zeta Function On Line Re(s)=1

Difference between Eulers product and Zeta Function at a finite values

A cotangent series related to the zeta function

Limit of differences of truncated series and integrals give Euler-gamma, zeta and logs. Why?

An outrageous way to derive a Laurent series: why does this work?

How to evaluate a certain definite integral: $\int_{0}^{\infty}\frac{\log(x)}{e^{x}+1}dx$

Convergence of $\sum_{n=1}^{\infty} n$ and integral test

Upper and lower bounds for the smallest zero of a function

Intuitive explanation for $\zeta (2)=\frac{\pi^2}{6}$

Is it true that $\int_0^1 \lfloor x^{-1} \rfloor^{-1} x^n dx = \frac{1}{n+1}(\zeta(2)+\zeta(3) + \dots + \zeta(n+2) ) - 1$?

How would you show that the Riemann Zeta function, $\zeta(s) < 0$ for $s \in (0,1)$?

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