On the Singular Values of the Drinfeld Modular Function μ
✍ Scribed by Daeyeol Jeon; Chang Heon Kim
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 118 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
✦ Synopsis
In this work we find a uniformizer m of the Drinfeld modular curve X 0 (T) and prove that singular values of m generate ring class fields over an imaginary quadratic field.
📜 SIMILAR VOLUMES
In this work, we study the expansion of a product function U related to the Drinfeld discriminant 2(z); U is the analogue of the classical '-function. The main result is the formula given in Theorem 3.1. From this formula, we derive the fact that the expansion of U is lacunary for q>2 (Theorem 3.3)
In part II of a series of articles on the least common multiple, the central object of investigation was a particular integer-valued arithmetic function g 1 (n). The most interesting problem there was the value distribution of g 1 (n). We proved that the counting function card[n x: g 1 (n) d ] has o