Mathematics of Computation

Author(s): Noriko Yui; Don Zagier.
Journal: Math. Comp. 66 (1997), 1645-1662.
MSC (1991): Primary 11G15; Secondary 11R37, 11F03, 11G16
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Abstract: The minimal polynomials of the singular values of the classical Weber modular functions give far simpler defining polynomials for the class fields of imaginary quadratic fields than the minimal polynomials of singular moduli of level 1. We describe computations of these polynomials and give conjectural formulas describing the prime decomposition of their resultants and discriminants, extending the formulas of Gross-Zagier for the level 1 case.

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Retrieve articles in Mathematics of Computation with MSC (1991): 11G15, 11R37, 11F03, 11G16

Noriko Yui
Affiliation: Department of Mathematics, Queen's University, Kingston, Ontario, Canada K7L 3N6
Email: yui@ny.mast.queensu.ca

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