Klein forms and the generalized superelliptic equation

DOI10.4007/annals.2013.177.1.4zbMath1321.11059OpenAlexW2169044175MaRDI QIDQ1942690

Michael A. Bennett, Sander R. Dahmen

Publication date: 19 March 2013

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4007/annals.2013.177.1.4

zbMATH Keywords

Thue-Mahler equationsGalois representationssuperelliptic equationselliptic curves with isomorphic \(n\)-torsion

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Thue-Mahler equations (11D59) Galois representations (11F80) Cubic and quartic Diophantine equations (11D25)

Related Items (10)

Complete solution of the Diophantine Equation $x^{2}+5^{a}\cdot 11^{b}=y^{n}$ ⋮ Complete solutions to a family of Thue equations of degree 12 ⋮ Generalized Fermat equations: A miscellany ⋮ Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ Perfect powers in elliptic divisibility sequences ⋮ Rational points on Erdős–Selfridge superelliptic curves ⋮ Effective irrationality measures for real and p-adic roots of rational numbers close to 1, with an application to parametric families of Thue–Mahler equations ⋮ On binary cubic and quartic forms ⋮ Superelliptic equations arising from sums of consecutive powers ⋮ The equation $(x-d)^5+x^5+(x+d)^5=y^n$

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