Effective results for Diophantine equations over finitely generated domains: A survey

Jan‐Hendrik Evertse, Kálmán Győry

Type: Book-Chapter

Publication Date: 2013-12-09

Citations: 0

DOI: https://doi.org/10.1515/9783110282429.63

Abstract

We give a survey of our recent effective results on unit equations in two unknowns and, obtained jointly with A. Bérczes, on Thue equations and superelliptic equations over an arbitrary domain that is finitely generated over Z. Further, we outline the method of proof.

Locations

CiteSeer X (The Pennsylvania State University) - View - PDF
De Gruyter eBooks - View

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Works Cited by This (19)

Action	Title	Year	Authors
+ PDF Chat	On the equation $y^m = P(x)$	1976	Andrzej Schinzel R. Tijdeman
+	Über einige Anwendungen diophantischer Approximationen	2014	Carl Ludwig Siegel
+	Diophantine Equations over Function Fields	1984	R. C. Mason
+ PDF Chat	Ideal membership in polynomial rings over the integers	2004	Matthias Aschenbrenner
+	OnS-integral solutions of the equationy m =f(x)	1984	Β. Brindza
+ PDF Chat	Constructions in algebra	1974	A. Seidenberg
+	Integral points on curves	1960	Serge Lang
+ PDF Chat	Thue's equation over function fields	1978	Wolfgang M. Schmidt
+	On the equationf(x)=y m over finitely generated domains	1989	Β. Brindza
+	On the number of solutions of linear equations in units of an algebraic number field	1979	Kálmán Győry