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arxiv: 1601.00404 · v2 · pith:ZIOID77Anew · submitted 2016-01-04 · 🧮 math.NT

Siegel families with application to class fields

classification 🧮 math.NT
keywords familiessiegelclassfieldsfunctionsalgebraicapplicationcertain
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We investigate certain families of meromorphic Siegel modular functions on which Galois groups act in a natural way. By using Shimura's reciprocity law we construct some algebraic numbers in the ray class fields of CM-fields in terms of special values of functions in these Siegel families.

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