Generation of ring class fields by eta-quotients

zbMath1444.11130arXiv1404.3282MaRDI QIDQ4576512

Ja Kyung Koo, Dong Sung Yoon, Dong Hwa Shin

Publication date: 12 July 2018

Full work available at URL: https://arxiv.org/abs/1404.3282

zbMATH Keywords

complex multiplicationclass field theoryelliptic and modular units

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Complex multiplication and moduli of abelian varieties (11G15) Class field theory (11R37) Elliptic and modular units (11G16)

Related Items (1)

On a problem of Hasse and Ramachandra

Cites Work

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• Ring class invariants over imaginary quadratic fields
• Ray class invariants over imaginary quadratic fields
• On some arithmetic properties of Siegel functions
• Construction of ray class fields by elliptic units
• Some applications of Kronecker's limit formulas
• Function fields of certain arithmetic curves and application
• Exponents of the class groups of complex quadratic fields

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