On the equation \(f(x)=y^ m\) over finitely generated domains
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Publication:582316
DOI10.1007/BF01953374zbMath0691.10006MaRDI QIDQ582316
Publication date: 1989
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Related Items (3)
On Diophantine equations of the form \((x-a_1)(x-a_2)\cdots(x-a_k)+r=y^n\) ⋮ Effective results for division points on curves in \(\mathbb{G}_m^2\) ⋮ Effective results for unit points on curves over finitely generated domains
Cites Work
- Bounds for the solutions of norm form, discriminant form and index form equations in finitely generated integral domains
- On \(S\)-integral solutions of the equation \(y^ m=f(x)\)
- The hyperelliptic equation over function fields
- Effective finiteness theorems for polynomials with given discriminant and integral elements with given discriminant over finitely domains.
- A lower bound for linear forms in logarithms
- Le Veque's superelliptic equation over function fields
- On the equation $y^m=f(x)$
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