Form class groups for extended ring class fields

DOI10.1016/j.jnt.2018.06.011zbMath1442.11065OpenAlexW2884088415MaRDI QIDQ1634411

Dong Hwa Shin, Dong Sung Yoon, Ja Kyung Koo

Publication date: 18 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2018.06.011

zbMATH Keywords

modular functionsbinary quadratic formscomplex multiplicationclass field theory

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Complex multiplication and moduli of abelian varieties (11G15) Class field theory (11R37) General binary quadratic forms (11E16)

Cites Work

• On some arithmetic properties of Siegel functions
• Primes of the form \(x^2+ny^2\) with conditions \(x\equiv 1 \bmod N\), \(y\equiv 0\bmod N\)
• Singular values of principal moduli
• Primitive generators of certain class fields
• ON SOME THETA CONSTANTS AND CLASS FIELDS
• CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS AND APPLICATIONS
• Function fields of certain arithmetic curves and application
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