All Questions

It is claimed that the following function produces only integer values for all integer $m \geq 1$, $N \geq 2$. $F(m,N)=\frac{N^m}{2^m}\displaystyle \sum_{j=1}^{N-1} \operatorname{cosec} ^{2m}\left(\...

Considering a function $f$ exponentially decreasing at infinity, is the following function $\mathbb{Q}$ periodic ? $$F(x)= \sum\limits_{q =1}^{\infty} \; \sum\limits_{n =1}^{\infty} \; \sum\...