ARITHMETIC OF THE MODULAR FUNCTIONS j1,2AND j1,3
نویسندگان
چکیده
منابع مشابه
The arithmetic of the values of modular functions and the divisors of modular forms
Let j(z) = q−1 + 744 + 196884q + · · · denote the usual elliptic modular function on SL2(Z) (q := e throughout). We shall refer to a complex number τ of the form τ = −b+ √ b2−4ac 2a with a, b, c ∈ Z, gcd(a, b, c) = 1 and b −4ac < 0 as a Heegner point, and we denote its discriminant by the integer dτ := b − 4ac. The values of j at such points are known as singular moduli, and they play a substan...
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ژورنال
عنوان ژورنال: Bulletin of the Korean Mathematical Society
سال: 2007
ISSN: 1015-8634
DOI: 10.4134/bkms.2007.44.1.047