Newbetuts

On line integral $\displaystyle\int_{a + i\infty}^{a - i\infty} \frac{\zeta^2(1-s)\zeta^2(s-4m-1)}{2 \cos\left(\frac{\pi s}{2}\right)} \,\mathrm{d}s$

Riemann hypothesis: is Bender-Brody-Müller Hamiltonian a new line of attack?

Does $\sum _{n=1}^{\infty } \frac{\sin(\text{ln}(n))}{n}$ converge?

Infinite Series $‎\sum\limits_{n=2}^{\infty}\frac{\zeta(n)}{k^n}$

Evaluating the log gamma integral $\int_{0}^{z} \log \Gamma (x) \, \mathrm dx$ in terms of the Hurwitz zeta function

What is so interesting about the zeroes of the Riemann $\zeta$ function?

Two Representations of the Prime Counting Function

How to evaluate $\int_0^1\int_0^1 \frac{1}{1-xy} \, dy \, dx$ to prove $\sum_{n=1}^{\infty} \frac{1}{n^2}=\frac{\pi^2}{6}$.

How to show that the Laurent series of the Riemann Zeta function has $\gamma$ as its constant term?

Computing $\zeta(6)=\sum\limits_{k=1}^\infty \frac1{k^6}$ with Fourier series.

Probability that two random numbers are coprime is $\frac{6}{\pi^2}$

Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$?

What is the Riemann-Zeta function?

Generalized Euler sum $\sum_{n=1}^\infty \frac{H_n}{n^q}$

Why does $1+2+3+\cdots = -\frac{1}{12}$?

New posts in riemann-zeta

Does $\zeta(3)$ have a connection with $\pi$?

Zeta function zeros and analytic continuation

Sum : $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3}$

Proving that $\frac{\pi^{3}}{32}=1-\sum_{k=1}^{\infty}\frac{2k(2k+1)\zeta(2k+2)}{4^{2k+2}}$

On line integral $\displaystyle\int_{a + i\infty}^{a - i\infty} \frac{\zeta^2(1-s)\zeta^2(s-4m-1)}{2 \cos\left(\frac{\pi s}{2}\right)} \,\mathrm{d}s$

Riemann hypothesis: is Bender-Brody-Müller Hamiltonian a new line of attack?

Does $\sum _{n=1}^{\infty } \frac{\sin(\text{ln}(n))}{n}$ converge?

Infinite Series $‎\sum\limits_{n=2}^{\infty}\frac{\zeta(n)}{k^n}$

Evaluating the log gamma integral $\int_{0}^{z} \log \Gamma (x) \, \mathrm dx$ in terms of the Hurwitz zeta function

What is so interesting about the zeroes of the Riemann $\zeta$ function?

Two Representations of the Prime Counting Function

How to evaluate $\int_0^1\int_0^1 \frac{1}{1-xy} \, dy \, dx$ to prove $\sum_{n=1}^{\infty} \frac{1}{n^2}=\frac{\pi^2}{6}$.

How to show that the Laurent series of the Riemann Zeta function has $\gamma$ as its constant term?

Computing $\zeta(6)=\sum\limits_{k=1}^\infty \frac1{k^6}$ with Fourier series.

Probability that two random numbers are coprime is $\frac{6}{\pi^2}$

Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$?

What is the Riemann-Zeta function?

Generalized Euler sum $\sum_{n=1}^\infty \frac{H_n}{n^q}$

Why does $1+2+3+\cdots = -\frac{1}{12}$?