Generation of class fields by using the Weber function

DOI10.1016/J.JNT.2016.03.020zbMath1411.11115arXiv1408.5650OpenAlexW2964027758MaRDI QIDQ290016

Dong Hwa Shin, Ja Kyung Koo, Dong Sung Yoon

Publication date: 1 June 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5650

zbMATH Keywords

Weber functioncomplex multiplicationclass field theory

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Class field theory (11R37) Elliptic and modular units (11G16)

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Cites Work

• Ring class invariants over imaginary quadratic fields
• Construction of ray class fields by elliptic units
• Some applications of Kronecker's limit formulas
• The Arithmetic of Elliptic Curves
• On some Fricke families and application to the Lang–Schertz conjecture
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