The Dedekind eta-function, a Hauptmodul for Gamma(0)(13), and invariant theory | |
Yang, Lei | |
2017 | |
关键词 | Theta constants Hauptmodul Modular equations PARTITIONS IDENTITIES |
英文摘要 | We give an explicit formula for the Hauptmodul (eta(tau)/eta(13 tau))(2) of the level-13 Hecke modular group Gamma(0)(13) as a quotient of theta constants, together with some related explicit formulas. Similar results for primes p = 2, 3, 5, 7 (the other p for which Gamma(0)(p) has genus zero) are well known, and date back to Klein and Ramanujan. Moreover, we find an exotic modular equation, i.e., it has the same form as Ramanujan's modular equation of degree 13, but with different kinds of modular parameterizations.; SCI(E); ARTICLE; 3; 689-712; 42 |
语种 | 英语 |
出处 | SCI |
出版者 | RAMANUJAN JOURNAL |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/474404] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Yang, Lei. The Dedekind eta-function, a Hauptmodul for Gamma(0)(13), and invariant theory. 2017-01-01. |
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