Question

Does $\lim_{n\to\infty}\left(4\sum_{i=1}^{2n}(-1)^i\sqrt{i}\right)-\sqrt{2n}-\sqrt{2n+1}$ converge?

score 88 · Answer 1 · 2018-05-16 07:11:32

88

Views

Does $\lim_{n\to\infty}\left(4\sum_{i=1}^{2n}(-1)^i\sqrt{i}\right)-\sqrt{2n}-\sqrt{2n+1}$ converge?

Published on 16 May 2018 - 7:11

score 215 · Answer 2 · 2018-05-16 13:00:18

215

Views

Is the Riemann zeta function surjective?

Published on 16 May 2018 - 13:00

score 50 · Answer 3 · 2018-05-17 23:29:12

50

Views

Riemann function variant: odd numbers only?

Published on 17 May 2018 - 23:29

score 163 · Answer 4 · 2026-03-27 05:38:54

163

Views

For $n, m \ge 0, n+m\ge 2$, evaluate $W_{m, n} =\sum_{k=1}^{\infty} \frac{1}{(k+1)^mk^{n}} $.

Published on 27 Mar 2026 - 5:38

score 193 · Answer 5 · 2018-05-18 18:02:28

193

Views

Data analysis with the Riemann zeta function zeros

Published on 18 May 2018 - 18:02

score 72 · Answer 6 · 2026-03-25 01:17:23

72

Views

Unclear multiplication with Riemann zeta functional equation with eta

Published on 25 Mar 2026 - 1:17

score 653 · Answer 7 · 2026-03-25 01:22:22

653

Views

Reciprocal of Riemann zeta function and Moebius function

Published on 25 Mar 2026 - 1:22

score 43 · Answer 8 · 2018-05-26 04:19:35

43

Views

If $\sum\limits_{n=2}^∞\frac1{f(n)}=ζ(C)-1$, is it ok to write $\lim\limits_{n→∞}f(n)=n^C$?

Published on 26 May 2018 - 4:19

score 60 · Answer 9 · 2026-03-24 22:01:46

60

Views

Can anyone tell me the name of this function?

Published on 24 Mar 2026 - 22:01

score 310 · Answer 10 · 2018-05-28 12:59:55

310

Views

This article claims to prove that all $\zeta(2n+1)$ for integer $n>0$ are irrational. Is it correct?

Published on 28 May 2018 - 12:59

score 70 · Answer 11 · 2018-05-29 16:36:04

70

Views

Decreasing Combinations of Stieltjes Coefficients

Published on 29 May 2018 - 16:36

score 273 · Answer 12 · 2018-05-30 09:12:35

273

Views

A curious coincidence in the series representation of $\zeta(7)$

Published on 30 May 2018 - 9:12

score 128 · Answer 13 · 2018-05-30 09:44:16

128

Views

Why does this quotient involving the series representation of the Riemann Zeta function tend to $2$?

Published on 30 May 2018 - 9:44

score 233 · Answer 14 · 2018-05-31 08:50:33

233

Views

Finding an English version of Hjortnaes' paper on the series representation of $\zeta(3)$

Published on 31 May 2018 - 8:50

score 1.8k · Answer 15 · 2026-03-26 06:19:41

1.8k

Views

Differentiability of the Riemann function

Published on 26 Mar 2026 - 6:19

List Question

Does $\lim_{n\to\infty}\left(4\sum_{i=1}^{2n}(-1)^i\sqrt{i}\right)-\sqrt{2n}-\sqrt{2n+1}$ converge?

Is the Riemann zeta function surjective?

Riemann function variant: odd numbers only?

For $n, m \ge 0, n+m\ge 2$, evaluate $W_{m, n} =\sum_{k=1}^{\infty} \frac{1}{(k+1)^mk^{n}} $.

Data analysis with the Riemann zeta function zeros

Unclear multiplication with Riemann zeta functional equation with eta

Reciprocal of Riemann zeta function and Moebius function

If $\sum\limits_{n=2}^∞\frac1{f(n)}=ζ(C)-1$, is it ok to write $\lim\limits_{n→∞}f(n)=n^C$?

Can anyone tell me the name of this function?

This article claims to prove that all $\zeta(2n+1)$ for integer $n>0$ are irrational. Is it correct?

Decreasing Combinations of Stieltjes Coefficients

A curious coincidence in the series representation of $\zeta(7)$

Why does this quotient involving the series representation of the Riemann Zeta function tend to $2$?

Finding an English version of Hjortnaes' paper on the series representation of $\zeta(3)$

Differentiability of the Riemann function

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