A quantitative version of Runge's theorem on diophantine equations

From MaRDI portal
Publication:4015358

DOI10.4064/aa-62-2-157-172zbMath0769.11017OpenAlexW256612138MaRDI QIDQ4015358

Peter Gareth Walsh

Publication date: 19 January 1993

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

Full work available at URL: https://eudml.org/doc/206487




Related Items (25)

The complexity of counting edge colorings and a dichotomy for some higher domain Holant problemsEffective estimation of integer points of a family of algebraic curvesPolynomial bounds for the solutions of a class of diophantine equationsPolynomials with values which are powers of integersQuasi-Equivalence of Heights and Runge’s TheoremDiophantine equations with three monomialsA note on lower bounds for ranks using Pell equationsOn the Diophantine equation \(\prod_{i \leq m}(d_iy + q_i) = f(x)\)On the global distance between two algebraic points on a curve.On a problem of Erdős and GrahamNonexistence of nontrivial tight 8-designsThe diophantine equation \((y+q_1)(y+q_2) \cdots (y+q_m) = f(x)\)Unnamed ItemComputing all integer solutions of a genus 1 equationAn algorithm for solving a family of fourth-degree Diophantine equations that satisfy Runge's conditionExtending Runge’s method for integral pointsIrreducibility testing over local fieldsPower values of sums of products of consecutive integersVariations on a theme of Runge: effective determination of integral points on certain varietiesOn the size of the intersection of two Lucas sequences of distinct type. IIOn equal values of pyramidal and polygonal numbersA Polynomial Time Complexity Bound for Computations on CurvesAn Algorithmic Implementation of Runge’s Method for Cubic Diophantine EquationsAn Elementary Algorithm for Solving a Diophantine Equation of Degree Fourth with Runge’s ConditionThe Skolem-Abouzaïd theorem in the singular case






This page was built for publication: A quantitative version of Runge's theorem on diophantine equations