An explicit modular equation in two variables for

Authors:
Harvey Cohn and Jesse Deutsch

Journal:
Math. Comp. **50** (1988), 557-568

MSC:
Primary 11F41

DOI:
https://doi.org/10.1090/S0025-5718-1988-0929553-4

MathSciNet review:
929553

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Abstract: A system of modular equations of norm 2 had been found for the Hilbert modular function field of in an earlier issue of this journal. Here an analogous system is found for but with the help of MACSYMA. There are special difficulties in the fact that two spaces of Hilbert modular functions exist for that can be interchanged by the modular equations. The equations are also a remarkable example of hidden symmetries in the algebraic manifold which is defined in by the modular equation.

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1988-0929553-4

Keywords:
Hilbert modular functions,
modular equation

Article copyright:
© Copyright 1988
American Mathematical Society