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arXiv · 1601.00404

Siegel families with application to class fields

Ja Kyung Koo·Dong Hwa Shin·Dong Sung Yoon
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Abstract

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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Ja Kyung Koo, Dong Hwa Shin, Dong Sung Yoon. 2016-04-08. Siegel families with application to class fields. https://arxiv.org/abs/1601.00404

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