Singular values of the Rogers-Ramanujan continued fraction

被引：0
|
作者：
Alice Gee
Mascha Honsbeek
机构：
[1] ABN AMRO Bank,Quantitative Risk Analytics
[2] Katholieke Universiteit Nijmegen,Faculteit der Wiskunde en Informatica
来源：
The Ramanujan Journal | 2006年 / 11卷
关键词：
Rogers-Ramanujan continued fraction; Shimura reciprocity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let z∊ C be imaginary quadratic in the upper half plane. Then the Rogers-Ramanujan continued fraction evaluated at q = e2π iz is contained in a class field of Q(z). Ramanujan showed that for certain values of z, one can write these continued fractions as nested radicals. We use the Shimura reciprocity law to obtain such nested radicals whenever z is imaginary quadratic.
引用
收藏
相关论文
共 50 条
12345