Singular values, Ramanujan modular equations, and Landen transformations
نویسندگان
چکیده
منابع مشابه
Modular relations and explicit values of Ramanujan-Selberg continued fractions
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In this thesis, we prove several results on the algebraicity of values of certain modular functions. More precisely, let f(z) be a modular form for the congruence group Γ0(N). We show that f(τ) is an element in the ring class field for the order Oτ corresponding to τ whenever τ is the fixed point of a specific class of matrices in the normalizer of Γ0(N), and provide the explicit Galois action ...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1996
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-121-3-221-230