Representation of integers by sparse binary forms

DOI10.1090/tran/8241zbMath1483.11064arXiv1906.03705OpenAlexW2948821818MaRDI QIDQ4963626

Paloma Bengoechea, Shabnam Akhtari

Publication date: 19 February 2021

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03705

zbMATH Keywords

rational approximationfewnomialssparse binary formsThue's inequalities

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Diophantine inequalities (11D75)

Related Items (2)

Diagonalizable Thue equations: revisited ⋮ The number of solutions to the trinomial Thue equation

Cites Work

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• Die Gleichung \(ax^n-by^n=c\)
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• REPRESENTATION OF SMALL INTEGERS BY BINARY FORMS
• Trinomial Thue equations and inequalities.
• COUNTING SOLUTIONS OF ∣ax^r–by^r∣≤h
• Thue Equations with Few Coefficients
• On the Number of Solutions of Polynomial Congruences and Thue Equations
• A note on the equation $ax^n - by^n = c$
• Finiteness Theorems for Binary Forms with Given Discriminant
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• Thue inequalities with a small number of primitive solutions
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