List questions from zeta-functions

Published on 27 Apr 2020 - 14:09

44

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How to simplify $\frac{1}{5^2} p\binom{2}{2} + \frac{1}{7^2}p\binom{2}{3} + \frac{1}{11^2}p\binom{2}{4} + \ldots$?

Published on 01 May 2020 - 7:36

116

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Expressing a series of complex exponentials as an asymptotic expansion

Published on 02 May 2020 - 20:44

94

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How can we evaluate $\sum_{k\geq 0} \frac{1}{(2k+1)^3}$?

Published on 25 Mar 2026 - 9:32

1.1k

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Proving the relation between the Dirichlet eta function and the Riemann zeta function

Published on 25 Mar 2026 - 17:36

247

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Prove $\sum_{n=1}^{\infty}((n+\frac{1}{2})\ln(1+\frac{1}{n})-1)=1-\ln(\sqrt{2\pi})$

Published on 10 May 2020 - 12:12

121

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Sum of residue of two function

Published on 18 May 2020 - 12:07

131

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Finding the poles of a certain Zeta function

Published on 04 Jun 2020 - 16:13

34

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How does $\lim\limits_{Re(s)\rightarrow -\infty} Li_s(e^{w})$ become $\Gamma(1-s)(-w)^{s-1}$?

Published on 06 Jun 2020 - 9:38

66

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Smoothness of diagonal hypersurfaces

Published on 06 Jun 2020 - 12:16

166

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Retrieving Euler characteristic from spectral zeta function

Published on 25 Mar 2026 - 12:13

45

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What is the name of this series?

Published on 12 Jun 2020 - 13:36

147

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Variation of the Riemann Zeta Function

Published on 17 Jun 2020 - 4:48

387

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Fourier Legendre expansion for $\frac{\text{Li}_2(x)}{x}$

Published on 25 Mar 2026 - 17:40

144

Views

Any nice (not necessarily closed) forms for ${\sum_{n=1}^{\infty}\frac{(-1)^{n+1}\eta(2n)}{n}}$?

Published on 28 Jun 2020 - 19:51

List Question

Prove zeta function has coninuous derivatives of all orders

How to simplify $\frac{1}{5^2} p\binom{2}{2} + \frac{1}{7^2}p\binom{2}{3} + \frac{1}{11^2}p\binom{2}{4} + \ldots$?

Expressing a series of complex exponentials as an asymptotic expansion

How can we evaluate $\sum_{k\geq 0} \frac{1}{(2k+1)^3}$?

Proving the relation between the Dirichlet eta function and the Riemann zeta function

Prove $\sum_{n=1}^{\infty}((n+\frac{1}{2})\ln(1+\frac{1}{n})-1)=1-\ln(\sqrt{2\pi})$

Sum of residue of two function

Finding the poles of a certain Zeta function

How does $\lim\limits_{Re(s)\rightarrow -\infty} Li_s(e^{w})$ become $\Gamma(1-s)(-w)^{s-1}$?

Smoothness of diagonal hypersurfaces

Retrieving Euler characteristic from spectral zeta function

What is the name of this series?

Variation of the Riemann Zeta Function

Fourier Legendre expansion for $\frac{\text{Li}_2(x)}{x}$

Any nice (not necessarily closed) forms for ${\sum_{n=1}^{\infty}\frac{(-1)^{n+1}\eta(2n)}{n}}$?

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