Trinomials with given roots

DOI10.1016/j.indag.2019.09.001zbMath1479.11052arXiv1908.01076OpenAlexW2971523941MaRDI QIDQ2288220

Florian Luca, Yuri F. Bilu

Publication date: 17 January 2020

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.01076

zbMATH Keywords

trinomialslinear forms in logarithmslogarithmic heightlinear forms in multiplicative groups

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Heights (11G50) Linear forms in logarithms; Baker's method (11J86)

Related Items (4)

On the prime factors of the iterates of the Ramanujan τ–function ⋮ Binary polynomial power sums vanishing at roots of unity ⋮ On the number of prime divisors and radicals of non-zero Fourier coefficients of Hilbert cusp forms ⋮ Trinomials, singular moduli and Riffaut's conjecture

Cites Work

• Small points on subvarieties of a torus
• On S-unit equations in two unknowns
• Linear equations in variables which lie in a multiplicative group
• An inequality for the discriminant of a polynomial
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• The Norm of Gaussian Periods

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