0
votes
1answer
67 views

What's the name of this class of transcendental numbers?

I'm considering the set $$\left\{\sin(k)\mid k\in\Bbb Z\backslash \left\{0\right\}\right\}.$$ All of its members are transcendental numbers, but together they don't form the complete set of all ...
4
votes
2answers
128 views

How to show $e^{2 \pi i \theta}$ is not algebraic.

I was wondering if someone could possibly help me figure out how to show $e^{2 \pi i \theta}$ is not algebraic when $\theta$ is irrational. Thanks!
3
votes
0answers
35 views

Schneider's theorem about the transcendence of values of the $j$-function

It is known that the $j$-function takes algebraic values when evaluated at imaginary quadratic integers. This is a result that was proved by Schneider in 1937 apparently. To be precise, Schneider ...
4
votes
1answer
89 views

Is the Glaisher–Kinkelin constant transcendental?

As the title says, is it known whether or not the Glaisher constant is a transcendental number?