An **eta quotient** is any function $f$ of the form
\[
f(z)=\prod_{1\leq i\leq s}\eta^{r_i}(m_iz),
\]
where $m_i\in\mathbb{N}$ and $r_i\in\mathbb{Z}$ and $\eta(z)$ is the Dedekind eta function.

An **eta product** is an eta quotient in which all the $r_i$ are non-negative.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by Andrew Sutherland on 2020-10-17 12:58:48

**Referred to by:**

**History:**(expand/hide all)

- 2020-10-17 12:58:48 by Andrew Sutherland (Reviewed)
- 2020-10-17 08:58:48 by Andrew Sutherland
- 2016-03-23 14:52:16 by Andreea Mocanu (Reviewed)

**Differences**(show/hide)