An explicit version of Shimura's reciprocity law for Siegel modular functions

Details An explicit version of Shimura's reciprocity law for Siegel modular functions An explicit version of Shimura's reciprocity law for Siegel modular functions

2011-12-29

arxiv.org/abs/1201.0020v1

Mathematics

Number Theory

21 pages

Scientific paper

We give an explicit version of Shimura's reciprocity law for singular values
of Siegel modular functions. We use this to construct examples of class
invariants of quartic CM fields that are smaller than Igusa invariants.

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