GENERATION OF CLASS FIELDS BY SIEGEL-RAMACHANDRA INVARIANTS

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Publication:2949415

DOI10.4134/JKMS.2015.52.5.907zbMATH Open1327.11041arXiv1009.2253MaRDI QIDQ2949415

Dong Hwa Shin

Publication date: 8 October 2015

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Abstract: We show that the Siegel-Ramachandra invariants could be primitive generators of the ray class fields of imaginary quadratic fields. By using Shimura's reciprocity law we give a modern explanation of the solution of class number one problem given by Heegner and Stark.


Full work available at URL: https://arxiv.org/abs/1009.2253



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