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Arithmetic of the modular function \(j_{1,8}\)

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Publication:1840497
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DOI10.1023/A:1009857205327zbMath0976.11024MaRDI QIDQ1840497

Ja Kyung Koo, Chang Heon Kim

Publication date: 12 July 2001

Published in: The Ramanujan Journal (Search for Journal in Brave)


zbMATH Keywords

minimal polynomialmodular curveJacobi theta seriesclass fieldsrational function fieldnormalized generator


Mathematics Subject Classification ID

Relationship to Lie algebras and finite simple groups (11F22) Modular and automorphic functions (11F03) Class field theory (11R37)


Related Items (5)

Estimation of genus of arithmetic curves and applications ⋮ Generation of Hauptmoduln of \(\Gamma_{1}(N)\) by Weierstrass units and application to class fields ⋮ Singular values of some modular functions and their applications to class fields ⋮ Self-recursion formulas satisfied by Fourier coefficients of some modular functions ⋮ Unnamed Item




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