Computing Polynomials of the Ramanujan $t_n$ Class Invariants

[摘要] We compute the minimal polynomials of the Ramanujan values $t_n$,where $nequiv 11 mod 24$, using the Shimura reciprocity law.These polynomials can be used for defining the Hilbert class fieldof the imaginary quadratic field $mathbb{Q}(sqrt{-n})$ and havemuch smaller coefficients than the Hilbert polynomials.

[学科分类] 数学（综合）

[关键词] (quasi-) Baer ring;fixed ring;skew group ring;$C^*$-algebra;local multiplier algebra