LINEAR INDEPENDENCE OF POWERS OF SINGULAR MODULI OF DEGREE THREE

DOI10.1017/S0004972718000965zbMath1451.11069arXiv1712.06929OpenAlexW2963857893MaRDI QIDQ4645764

Florian Luca, Antonin Riffaut

Publication date: 10 January 2019

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.06929

zbMATH Keywords

linear independencesingular modulilinear forms in two logarithms

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Linear forms in logarithms; Baker's method (11J86) Approximation in non-Archimedean valuations (11J61) Inhomogeneous linear forms (11J20)

Related Items (3)

Equations with powers of singular moduli ⋮ Equations in three singular moduli: the equal exponent case ⋮ Trinomials, singular moduli and Riffaut's conjecture

Cites Work

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• Rational products of singular moduli
• Linear forms in two logarithms and interpolation determinants
• Existence of primitive divisors of Lucas and Lehmer numbers
• CM-Points on Straight Lines
• An effective result of André–Oort type II
• Finitude des couples d'invariants modulaires singuliers sur une courbe algébrique plane non modulaire
• Equations with powers of singular moduli
• An effective “Theorem of André” for CM-points on a plane curve

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