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Publication:3781167
zbMath0639.10014MaRDI QIDQ3781167
Robert Tijdeman, Paul Erdős, Cameron L. Stewart
Publication date: 1988
Full work available at URL: http://www.numdam.org/item?id=CM_1988__66_1_37_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Thue-Mahler equationsgreatest prime factordiophantine inequalitiesS-unit equationssums of integersnumber of coprime solutions
Diophantine inequalities (11D75) Higher degree equations; Fermat's equation (11D41) Multiplicative and norm form equations (11D57)
Related Items (13)
Some Ramanujan-Nagell equations with many solutions ⋮ Sequences of fields with many solutions to the unit equation ⋮ On S-unit equations in two unknowns ⋮ Additive decomposability of multiplicatively defined sets ⋮ Two \(S\)-unit equations with many solutions ⋮ Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture ⋮ S-unit equations over number fields ⋮ Finding all \(S\)-Diophantine quadruples for a fixed set of primes \(S\) ⋮ On distribution of solutions of \(S\)-unit equations ⋮ On the Number of Solutions of Polynomial Congruences and Thue Equations ⋮ Mahler's work on Diophantine equations and subsequent developments ⋮ Upper bounds for the numbers of solutions of unit equations in two unknowns
Cites Work
- Representations of integers by binary forms and the rank of the Mordell- Weil group
- On sums of sequences of integers. II,III
- On a problem of Oppenheim concerning Factorisatio Numerorum
- On equations in S-units and the Thue-Mahler equation
- On divisors of sums of integers. I
- On S-unit equations in two unknowns
- Integral points on curves
- Chains of large gaps between consecutive primes
- Integer points and the rank of Thue elliptic curves
- On Thue's equation
- Zur Approximation algebraischer Zahlen. I: Über den grössten Primteiler binärer Formen
- Zur Approximation algebraischer Zahlen. II: Über die Anzahl der Darstellungen ganzer Zahlen durch Binärformen
- The difference of consecutive primes
- On Thue's theorem.
- On prime factors of sums of integers III
- Integer Points on Curves of Genus 1
- Explicit upper bounds for the solutions of some diophantine equations
- On a Problem in the Elementary Theory of Numbers
- Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
- On the Numerical Solution of a Differential-Difference Equation Arising in Analytic Number Theory
- Numbers with small prime factors, and the least 𝑘th power non-residue
- An effective p-adic analogue of a theorem of Thue
- An effective p-adic analogue of a theorem of Thue II. The greatest prime factor of a binary form
- A Probabilistic Approach to a Differential-Difference Equation Arising in Analytic Number Theory
- On the Lattice Points on Curves of Genus 1
- ON THE DIFFERENCE BETWEEN CONSECUTIVE PRIMES
- Rational approximations to algebraic numbers
- On the representation of integers by binary forms
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