Trinomials, singular moduli and Riffaut's conjecture

DOI10.2422/2036-2145.202010_025OpenAlexW3205198678WikidataQ113704549 ScholiaQ113704549MaRDI QIDQ5870829

Yuri F. Bilu, Florian Luca, Amalia Pizarro-Madariaga

Publication date: 23 January 2023

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.06547

Mathematics Subject Classification ID

Computer solution of Diophantine equations (11Y50) Recurrences (11B37) Polynomials in number theory (11C08) Complex multiplication and moduli of abelian varieties (11G15)

Related Items (1)

Equations in three singular moduli: the equal exponent case

Uses Software

• PARI/GP
• SageMath

Cites Work

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• Rational products of singular moduli
• Equations over finite fields. An elementary approach
• Partial Gaussian sums and the Pólya-Vinogradov inequality for primitive characters
• Trinomials with given roots
• Approximate formulas for some functions of prime numbers
• The Burgess inequality and the least kth power non-residue
• Bounds for the first several prime character nonresidues
• On Character Sums and L-Series^†
• Singular units and isogenies between CM elliptic curves
• Class numbers of imaginary quadratic fields
• Equations with powers of singular moduli
• LINEAR INDEPENDENCE OF POWERS OF SINGULAR MODULI OF DEGREE THREE
• An effective “Theorem of André” for CM-points on a plane curve
• Separating singular moduli and the primitive element problem
• Explicit Burgess bound for composite moduli
• Conditional bounds for the least quadratic non-residue and related problems
• On the Siegel–Tatuzawa–Hoffstein theorem
• Quadratic class numbers and character sums
• On Character Sums and L -Series. II
• No Singular Modulus Is a Unit

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