Using the special values of Siegel modular functions, we construct Minkowski units for the ray class field k6 of ℚ(exp(2πi/5)) modulo 6. Our work is based on investigating the prime decomposition of the special values and describing explicitly the action of the Galois group G(k6/ℚ) for the special values. Futhermore we construct the full unit group of k6 using modular and circular units under the GRH.
ASJC Scopus subject areas
- Algebra and Number Theory