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On evaluating the Riemann zeta function, including that $\zeta(2)\gt \varphi$ where $\varphi$ is the golden ratio

What is the Möbius analoge for Ihara's $\zeta$ function?

Are these new series formulae for $\zeta(2)$?

Identity $i\int_0^{\pi}\left[\mathrm{Li}_2\left(-1-e^{ix}\right)-\mathrm{Li}_2\left(-1-e^{-ix}\right)\right]dx=\frac{7}{3}\zeta(3) $

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

Detailed proof of $\zeta(s)-1/(s-1)$ extends holomorphically to $\Re(s)>0$

Prove $\int^\infty_0 \frac{e^{-t}}{t}\left[\frac1{t^2}-\frac1{(1-e^{-t})^2}+\frac1{1-e^{-t}}-\frac1{12}\right]dt=\frac34-\zeta'(-1)+\zeta'(0)$

Proving $\zeta(2) - \beta(1) + \zeta(4) - \beta(3) + \zeta(6)- \beta(5) + \ldots=1$

Sum of all consecutive natural root differences on a given power

How much of the Riemann Hypothesis has been solved?

Probability that two random integers have only one prime factor in common

Derivatives of the Riemann zeta function at $s=0$

Conjecture $\sum_{n=0}^\infty a_n= \frac{1}{2}-\frac{7 \zeta(3)}{2 \pi^2}$

How to prove $\lim_{s \rightarrow \infty} \zeta(s) = 1$?

Can we use analytic continuation to obtain $\sum_{n=1}^\infty n = b, b\neq -\frac{1}{12}$

The Riemann zeta function $\zeta(s)$ has no zeros for $\Re(s)>1$ [duplicate]

Derivative of the Riemann zeta function for $Re(s)>0$.

New posts in riemann-zeta

Question Relating Gamma Function to Riemann Zeta function evaluated at integers

Expressing Zeta function using Gamma series

Prove that $\sum_{n=1}^\infty \frac{\sigma_a(n)}{n^s}=\zeta(s)\zeta(s-a)$

On evaluating the Riemann zeta function, including that $\zeta(2)\gt \varphi$ where $\varphi$ is the golden ratio

What is the Möbius analoge for Ihara's $\zeta$ function?

Are these new series formulae for $\zeta(2)$?

Identity $i\int_0^{\pi}\left[\mathrm{Li}_2\left(-1-e^{ix}\right)-\mathrm{Li}_2\left(-1-e^{-ix}\right)\right]dx=\frac{7}{3}\zeta(3) $

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

Detailed proof of $\zeta(s)-1/(s-1)$ extends holomorphically to $\Re(s)>0$

Prove $\int^\infty_0 \frac{e^{-t}}{t}\left[\frac1{t^2}-\frac1{(1-e^{-t})^2}+\frac1{1-e^{-t}}-\frac1{12}\right]dt=\frac34-\zeta'(-1)+\zeta'(0)$

Proving $\zeta(2) - \beta(1) + \zeta(4) - \beta(3) + \zeta(6)- \beta(5) + \ldots=1$

Sum of all consecutive natural root differences on a given power

How much of the Riemann Hypothesis has been solved?

Probability that two random integers have only one prime factor in common

Derivatives of the Riemann zeta function at $s=0$

Conjecture $\sum_{n=0}^\infty a_n= \frac{1}{2}-\frac{7 \zeta(3)}{2 \pi^2}$

How to prove $\lim_{s \rightarrow \infty} \zeta(s) = 1$?

Can we use analytic continuation to obtain $\sum_{n=1}^\infty n = b, b\neq -\frac{1}{12}$

The Riemann zeta function $\zeta(s)$ has no zeros for $\Re(s)>1$ [duplicate]

Derivative of the Riemann zeta function for $Re(s)>0$.