Transcendentality of \( \zeta(3) \)

In 1978 Roger Apéry showed that \( \zeta(3) \) is irrational. It is expected that \( \zeta(3) \) is transcendental.

= Progress and approaches =


 * From the motivic viewpoint, it is easy to check \( \zeta^\mathfrak{m}(3) \) is transcendental.