New posts in dirichlet-series

Proving that $\frac{\pi}{4}$$=1-\frac{\eta(1)}{2}+\frac{\eta(2)}{4}-\frac{\eta(3)}{8}+\cdots$

sequences-and-series pi transcendental-numbers dirichlet-series constants

Sines and cosines of angles in arithmetic progression [closed]

sequences-and-series trigonometry dirichlet-series

How can I prove my conjecture for the coefficients in $t(x)=\log(1+\exp(x)) $?

sequences-and-series number-theory reference-request dirichlet-series

Is series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^\alpha}$, for $\alpha>0$, convergent?

calculus real-analysis sequences-and-series convergence-divergence dirichlet-series

The Definite Integral Problem (with a twist)?

measure-theory recreational-mathematics riemann-integration dirichlet-series

Show that $\sum\limits_{n\in \mathbb N} \frac{2^{\omega(n)}}{n^s}=\frac{\zeta^2(s)}{\zeta(2s)}$.

analytic-number-theory arithmetic-functions dirichlet-series