Modular Discriminant

51
reputation

Hi! I'm modular discriminant $\Delta (z)$.
I'm defined as follows: $$\Delta (z) = q \prod_{k = 1}^{\infty} (1 - q^k)^{24}$$ for $\Im (z) > 0$, where $q = \exp(\tau i z)$ and $\tau$ is the perimeter of the unit circle.