Isogeny formulas for the Picard modular form and a three terms arithmetic geometric mean
نویسندگان
چکیده
منابع مشابه
Isogeny formulas for the Picard modular form and a three terms AGM
In this paper we study the theta contants appeared in [S] those induced the modular function for the family of Picard curves C(ξ) given by (1). Our theta constants θk(u, v) (k = 0, 1, 2) , given by (3), are ”Neben type” modular forms of weight 1 defined on the complex 2-dimensional hyperball B, given by (2), with respect to a index finite subgroup Γθ of the Picard modular group Γ = PGL(M,Z[exp(...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2007
ISSN: 0022-314X
DOI: 10.1016/j.jnt.2006.08.002