On special values of generators of modular function fields

DOI10.1016/j.jmaa.2023.127741OpenAlexW4386424384MaRDI QIDQ6085409

Dong Sung Yoon, Dong Hwa Shin

Publication date: 8 November 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127741

zbMATH Keywords

modular functionsmodular curvesclass field theory

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Complex multiplication and moduli of abelian varieties (11G15) Arithmetic aspects of modular and Shimura varieties (11G18) Class field theory (11R37) Elliptic and modular units (11G16)

Cites Work

• Singular values of some modular functions
• On some arithmetic properties of Siegel functions
• Class invariants and cyclotomic unit groups from special values of modular units
• Defining equations of modular curves
• Modular units from quotients of Rogers-Ramanujan type 𝑞-series
• CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS AND APPLICATIONS
• Binary quadratic forms and ray class groups
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