show · cmf.eta_quotient all knowls · up · search:

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:
Differences