MathOverflow

Let's say that a real number has a simple trigonometric representation, if it can be represented as a product of zero or more rational powers of positive integers and zero or more (positive or negative) integer powers of $\sin(\cdot)$ at rational multiples...

Let $f(z)$ be an entire function of exponential type $1$, and let $s,t>0$, $s+t=1$. Can we always find entire functions $g,h$ of exponential types $s,t$ such that $f=gh$ ?

For a given compact Lie (or even finite or even $C_p$) group $G$ and a $G$-equivariant compact smooth manifold $M$, one can find a smooth embedding of $M$ into a representation of $G$. I have wondering what the smallest possible representation is (up...

For fixed $n \in \mathbb{N}$ consider integer solutions to$$x^3+y^3+z^3=n \qquad (1) $$
If $n$ is a cube or twice a cube, identities exist.
Elkies suggests no other polynomial identities are known.