Principal moduli and class fields
Abstract
We study the values taken by Gamma_0(n) modular functions at elliptic points of order 2 for the Fricke extension that lie outside Gamma_0(n). In the case of a principal modulus (`Hauptmodul') for Gamma_0(n) or its Fricke extension, we determine the class fields generated by these values.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- November 2003
- DOI:
- arXiv:
- arXiv:math/0311202
- Bibcode:
- 2003math.....11202C
- Keywords:
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- Mathematics - Number Theory;
- 11R37 (Primary);
- 11G15;
- 20H10 (Secondary)
- E-Print:
- 15 pages AMS-LaTeX