Article contents
Modular Equations and Discrete, Genus-Zero Subgroups of SL(2, ℝ) Containing Γ(N)
Published online by Cambridge University Press: 20 November 2018
Abstract
Let $G$ be a discrete subgroup of $\text{SL}\left( 2,\,\mathbb{R} \right)$ which contains $\Gamma \left( N \right)$ for some $N$. If the genus of $X\left( G \right)$ is zero, then there is a unique normalised generator of the field of $G$-automorphic functions which is known as a normalised Hauptmodul. This paper gives a characterisation of normalised Hauptmoduls as formal $q$ series using modular polynomials.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2002
Footnotes
The author was supported by NSERC and FCAR grants.
References
- 1
- Cited by