On S-unit equations in two unknowns

DOI10.1007/BF01393743zbMath0662.10012OpenAlexW2050207701WikidataQ106037937 ScholiaQ106037937MaRDI QIDQ1113928

Robert Tijdeman, Jan-Hendrik Evertse, Kálmán Győry, Cameron L. Stewart

Publication date: 1988

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143578

zbMATH Keywords

S-unit equationsunit equationat most 2 solutions

Mathematics Subject Classification ID

Algebraic number theory: global fields (11R99) Multiplicative and norm form equations (11D57)

Related Items

Collinear CM-points, Linear equations with unknowns from a multiplicative group whose solutions lie in a small number of subspaces., Sequences of fields with many solutions to the unit equation, Orders with few rational monogenizations, Representation of finite graphs as difference graphs of \(S\)-units. I, Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture, Representation of finite graphs as difference graphs of \(S\)-units. II, Powers in Finitely Generated Groups, Quantitative versions of the subspace theorem and applications, ON ITERATED PRODUCT SETS WITH SHIFTS, On distribution of solutions of \(S\)-unit equations, On the Number of Solutions of Polynomial Congruences and Thue Equations, Unnamed Item, Trinomials with given roots, Unnamed Item, Generic bound for the Mordell-Lang problem, Unnamed Item, Unnamed Item, Multiplicities of algebraic linear recurrences, Integral division points on curves, Upper bounds for the numbers of solutions of unit equations in two unknowns

Cites Work

• On equations in S-units and the Thue-Mahler equation
• Integral points on curves
• On the number of solutions of linear equations in units of an algebraic number field
• Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung
• Exponential diophantine equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item