List questions from riemann-zeta

Published on 26 Aug 2014 - 14:03

335

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Hard Definite integral involving the Zeta function

Published on 26 Aug 2014 - 16:39

1.1k

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Integrals of integer powers of dilogarithm function

Published on 26 Mar 2026 - 1:27

301

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Infinite Series $\sum_{k=1}^\infty\left(\zeta(2)-\sum_{n=1}^k\frac1{n^2}\right)^2$

Published on 25 Mar 2026 - 19:10

1.6k

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Usage of Complex Numbers in the Riemann Hypothesis.

Published on 25 Mar 2026 - 17:45

81

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What is the number $A$? And the function $G$?

Published on 01 Sep 2014 - 8:21

158

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Zeta zero sum & reciprocals of prime powers

Published on 04 Sep 2014 - 11:22

675

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Asymptotics for zeta zeros?

Published on 07 Sep 2014 - 0:52

71

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how to prove that an entire function is positive on the real axis

Published on 07 Sep 2014 - 2:06

132

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A question about the convergence of partial products of zeta of one.

Published on 25 Mar 2026 - 16:08

1.5k

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Does the series $\sum_{n=1}^\infty (-1)^n \frac{\cos(\ln(n))}{\sqrt{n}}$ converge?

Published on 18 Sep 2014 - 18:47

996

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Does the series $\sum_{n=1}^\infty (-1)^n \frac{\cos(\ln(n))}{n^{\epsilon}},\,\epsilon>0$ converge?

Published on 19 Sep 2014 - 9:10

282

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Calculate $\int_0^1\frac{\log^2x\log(1+x^2)}{1-x^2}dx$

Published on 28 Mar 2026 - 2:20

738

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Riemann Zeta of 1/2 $\zeta(\frac{1}{2})$

Published on 26 Sep 2014 - 15:59

749

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alternating sum of zeta functions minus one is one half

Published on 29 Mar 2026 - 20:54

List Question

Proof that $\zeta'(-2n)=(-1)^n\frac{(2n)!}{2(2\pi)^{2n}}\zeta(2n+1)$.

Hard Definite integral involving the Zeta function

Integrals of integer powers of dilogarithm function

Infinite Series $\sum_{k=1}^\infty\left(\zeta(2)-\sum_{n=1}^k\frac1{n^2}\right)^2$

Usage of Complex Numbers in the Riemann Hypothesis.

What is the number $A$? And the function $G$?

Zeta zero sum & reciprocals of prime powers

Asymptotics for zeta zeros?

how to prove that an entire function is positive on the real axis

A question about the convergence of partial products of zeta of one.

Does the series $\sum_{n=1}^\infty (-1)^n \frac{\cos(\ln(n))}{\sqrt{n}}$ converge?

Does the series $\sum_{n=1}^\infty (-1)^n \frac{\cos(\ln(n))}{n^{\epsilon}},\,\epsilon>0$ converge?

Calculate $\int_0^1\frac{\log^2x\log(1+x^2)}{1-x^2}dx$

Riemann Zeta of 1/2 $\zeta(\frac{1}{2})$

alternating sum of zeta functions minus one is one half

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