Geodesic
On Russell-Type Modular Equations
Canadian journal of mathematics, Tome 52 (2000) no. 1, pp. 31-46

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we revisit Russell-type modular equations, a collection of modular equations first studied systematically by R. Russell in 1887. We give a proof of Russell’s main theorem and indicate the relations between such equations and the constructions of Hilbert class fields of imaginary quadratic fields. Motivated by Russell’s theorem, we state and prove its cubic analogue which allows us to construct Russell-type modular equations in the theory of signature 3.
DOI : 10.4153/CJM-2000-002-0
Mots-clés : 33D10, 33C05, 11F11 
Chan, Heng Huat; Liaw, Wen-Chin. On Russell-Type Modular Equations. Canadian journal of mathematics, Tome 52 (2000) no. 1, pp. 31-46. doi: 10.4153/CJM-2000-002-0
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