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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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