Evaluating Igusa functions
نویسندگان
چکیده
The moduli space of principally polarized abelian surfaces is parametrized by three Igusa functions. In this article we investigate a new way to evaluate these functions by using Siegel Eisenstein series. We explain how to compute the Fourier coefficients of certain Siegel modular forms using classical modular forms of halfintegral weight. One of the results in this paper is an explicit algorithm to evaluate the Igusa functions to a prescribed precision.
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عنوان ژورنال:
- Math. Comput.
دوره 83 شماره
صفحات -
تاریخ انتشار 2014