Arithmetic of the modular function $j_{1,4}$

DOI10.4064/aa-84-2-129-143zbMath0907.11014OpenAlexW1592599675MaRDI QIDQ4396707

Chang Heon Kim, Ja Kyung Koo

Publication date: 22 June 1998

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207138

zbMATH Keywords

complex multiplicationmodular functionmoonshineclass fields over imaginary quadratic fieldsnormalized generator of a function field

Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Modular and automorphic functions (11F03) Special algebraic curves and curves of low genus (14H45) Holomorphic modular forms of integral weight (11F11) Class field theory (11R37) Algebraic numbers; rings of algebraic integers (11R04)

Related Items (5)

Singular values of some modular functions and their applications to class fields ⋮ Generators of function fields of the modular curves $X_1(5)$ and $X_1(6)$ ⋮ Self-recursion formulas satisfied by Fourier coefficients of some modular functions ⋮ Quotients of theta series as rational functions of \(j_{1,4}\) ⋮ Self-recursion formulas of certain monstrous functions

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