Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Bounds for the solutions of Thue-Mahler equations and norm form equations - MaRDI portal

Bounds for the solutions of Thue-Mahler equations and norm form equations

From MaRDI portal
Publication:4877384

DOI10.4064/aa-74-3-273-292zbMath0861.11024OpenAlexW255201670MaRDI QIDQ4877384

Kálmán Győry, Yann Bugeaud

Publication date: 12 May 1997

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206853




Related Items

On a cubic family of Thue equations involving Fibonacci numbers and powers of twoOdd values of the Ramanujan tau functionA note on the equation \(1^ k+2^ k+\cdots+(x-1)^ k=y^ m\)Automatic solution of families of Thue equations and an example of degree 8Thue equations and CM-fieldsUnnamed ItemUnnamed ItemPolynomial bounds for the solutions of a class of diophantine equationsOn the number of special numbersThe diophantine equation \(a^ x + b^ y = c^ z\). IIIEffectiveness of Siegel's theorem and the abc conjectureEffective methods for norm-form equationsSolving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama ConjectureAn irreducibility question concerning modifications of Laguerre polynomialsOn finiteness of odd superperfect numbersFAMILIES OF THUE EQUATIONS ASSOCIATED WITH A RANK ONE SUBGROUP OF THE UNIT GROUP OF A NUMBER FIELDAn old and new approach to Goormaghtigh’s equationFibonacci numbers at most one away from a perfect powerOn a family of cubic Thue Equations involving Fibonacci and Lucas numbersOn the resolution of relative Thue equationsProof of the Baker-Feldman theorem via linear forms in two logarithmsTorsion subgroups of elliptic curves in short Weierstrass formMahler's work on Diophantine equations and subsequent developmentsHyperelliptic curves and newform coefficientsEffective bounds for solutions of \(S\)-unit equations and of Thue-Mahler equationsAlmost powers in the Lucas sequencePowers in Lucas sequences via Galois representationsOn binomial Thue-Mahler equationsApproximation by algebraic numbersLocal positivity and effective Diophantine approximationThomas' family of Thue equations over imaginary quadratic fieldsOn cubic Thue equations and the indices of algebraic integers in cubic fields