Cubic singular moduli, Ramanujan's class invariants \(\lambda_n\) and the explicit Shimura reciprocity law.

DOI10.2140/pjm.2003.208.23zbMath1055.11030OpenAlexW1984066124MaRDI QIDQ1880004

Alice Gee, Heng Huat Chan, Victor Tan

Publication date: 16 September 2004

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2003.208.23

zbMATH Keywords

Ramanujanclass invariantscubic singular moduli

Mathematics Subject Classification ID

Dedekind eta function, Dedekind sums (11F20) Evaluation of number-theoretic constants (11Y60)

Related Items (7)

Modularity of Galois traces of class invariants ⋮ Cubic theta functions ⋮ New \(P-Q\) mixed modular equations and their applications ⋮ Schläfli modular equations for generalized Weber functions ⋮ What is your ``birthday elliptic curve? ⋮ Some new modular equations and their applications ⋮ Wronskians of theta functions and series for \(1/\pi\)

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