Generation of Hauptmoduln of \(\Gamma_{1}(N)\) by Weierstrass units and application to class fields

DOI10.2478/s11533-011-0080-5zbMath1252.11039OpenAlexW2102880589MaRDI QIDQ651299

Ja Kyung Koo, Chang Heon Kim

Publication date: 12 December 2011

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0080-5

zbMATH Keywords

Modular curveModular function:Class field

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (4)

On values of weakly holomorphic modular functions at divisors of meromorphic modular forms ⋮ Arithmetic properties of Picard-Fuchs equations and holonomic recurrences ⋮ A continued fraction of order twelve as a modular function ⋮ Self-recursion formulas satisfied by Fourier coefficients of some modular functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Arithmetic on modular curves
• Unités d'une famille de corps cycliques réels de degré 6 liés à la courbe modulaire \(X_ 1(13)\). (Units of a family of real cyclic fields of degree 6 related to the modular curve \(X_ 1(13))\)
• Units of a family of fields related to the curve \(X_ 1(25)\).
• Arithmetic of the modular function \(j_{1,8}\)
• Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
• Good reduction of abelian varieties
• Generators and defining equation of the modular function field of the group Γ₁(N)
• Note on a Polynomial of Emma Lehmer
• Monstrous Moonshine
• A Family of Cyclic Quartic Fields Arising from Modular Curves
• On the genus of some modular curves of level N

This page was built for publication: Generation of Hauptmoduln of \(\Gamma_{1}(N)\) by Weierstrass units and application to class fields