Question

Does the Z-function ever touch the x-axis without crosssing it

score 44 · Answer 1 · 2018-10-21 07:07:10

44

Views

Does the Z-function ever touch the x-axis without crosssing it

Published on 21 Oct 2018 - 7:07

score 330 · Answer 2 · 2026-03-25 16:00:08

330

Views

Is there a closed form for $\zeta(\pi)$?

Published on 25 Mar 2026 - 16:00

score 62 · Answer 3 · 2026-03-25 01:20:23

62

Views

How to prove that $3^{x^2+x} (x+1)^{-x} \Gamma (x+1)\ge 1$ for $x>0$?

Published on 25 Mar 2026 - 1:20

score 227 · Answer 4 · 2026-03-25 04:43:53

227

Views

What is the convergence of the explicit formula for $\frac{\zeta'(s)}{\zeta(s)}$?

Published on 25 Mar 2026 - 4:43

score 174 · Answer 5 · 2018-10-24 12:52:43

174

Views

Does this contour integral actually count the roots of $\zeta(s)$ with imaginary part $<T$?

Published on 24 Oct 2018 - 12:52

score 48 · Answer 6 · 2018-10-25 17:45:17

48

Views

How can I find the number equaling 2 in Riemann's zeta function?

Published on 25 Oct 2018 - 17:45

score 489 · Answer 7 · 2026-03-25 01:20:31

489

Views

Proof of $ \zeta(s)=\frac{1}{s-1}+\gamma+O(s-1)$

Published on 25 Mar 2026 - 1:20

score 37 · Answer 8 · 2026-03-25 03:03:43

37

Views

A function that satisfies $n^{f(n)}\zeta(f(n)) \to e^\gamma n\log\log n$

Published on 25 Mar 2026 - 3:03

score 274 · Answer 9 · 2018-10-28 15:45:47

274

Views

If $ \int_{0}^{1} \frac{\ln x}{1-x^2} dx = -\frac{π^2}{\lambda} $ find $\lambda$ given that $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{π^2}{6} $

Published on 28 Oct 2018 - 15:45

score 623 · Answer 10 · 2026-03-26 18:03:29

623

Views

Order of $\Gamma(n/2)$

Published on 26 Mar 2026 - 18:03

score 239 · Answer 11 · 2018-10-31 15:01:14

239

Views

Is Riemann's R-function $R(x)$ differentiable?

Published on 31 Oct 2018 - 15:01

score 906 · Answer 12 · 2026-03-26 12:15:30

906

Views

Is there an integral for $\frac{1}{\zeta(3)} $?

Published on 26 Mar 2026 - 12:15

score 90 · Answer 13 · 2026-03-25 14:06:24

90

Views

Rational functions over $\mathbb{Z}$ yielding series that converge to a given real number

Published on 25 Mar 2026 - 14:06

score 259 · Answer 14 · 2026-03-25 07:45:38

259

Views

For what $k\in \mathbb{C}$ do we have $\lim_{x\to\infty}\frac{1}{x^{k+1}}\sum_{n=1}^x \sigma_k(n)=\frac{\zeta(k+1)}{k+1}$?

Published on 25 Mar 2026 - 7:45

score 311 · Answer 15 · 2018-11-04 22:27:39

311

Views

What does $1+\frac{1}{8}+\frac{1}{27}+\frac{1}{64}+\frac{1}{125}+(\frac{1}{n})^3$ equal to?

Published on 04 Nov 2018 - 22:27

List Question

Does the Z-function ever touch the x-axis without crosssing it

Is there a closed form for $\zeta(\pi)$?

How to prove that $3^{x^2+x} (x+1)^{-x} \Gamma (x+1)\ge 1$ for $x>0$?

What is the convergence of the explicit formula for $\frac{\zeta'(s)}{\zeta(s)}$?

Does this contour integral actually count the roots of $\zeta(s)$ with imaginary part $<T$?

How can I find the number equaling 2 in Riemann's zeta function?

Proof of $ \zeta(s)=\frac{1}{s-1}+\gamma+O(s-1)$

A function that satisfies $n^{f(n)}\zeta(f(n)) \to e^\gamma n\log\log n$

If $ \int_{0}^{1} \frac{\ln x}{1-x^2} dx = -\frac{π^2}{\lambda} $ find $\lambda$ given that $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{π^2}{6} $

Order of $\Gamma(n/2)$

Is Riemann's R-function $R(x)$ differentiable?

Is there an integral for $\frac{1}{\zeta(3)} $?

Rational functions over $\mathbb{Z}$ yielding series that converge to a given real number

For what $k\in \mathbb{C}$ do we have $\lim_{x\to\infty}\frac{1}{x^{k+1}}\sum_{n=1}^x \sigma_k(n)=\frac{\zeta(k+1)}{k+1}$?

What does $1+\frac{1}{8}+\frac{1}{27}+\frac{1}{64}+\frac{1}{125}+(\frac{1}{n})^3$ equal to?

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