Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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GENERATION OF CLASS FIELDS BY SIEGEL-RAMACHANDRA INVARIANTS

  • SHIN, DONG HWA (Department of Mathematics Hankuk University of Foreign Studies)
  • Received : 2014.10.18
  • Published : 2015.09.01
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Abstract

We show in many cases that the Siegel-Ramachandra invariants generate the ray class fields over imaginary quadratic fields. As its application we revisit the class number one problem done by Heegner and Stark, and present a new proof by making use of inequality argument together with Shimura's reciprocity law.

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References

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