AbstractLet f(X, Y) be an absolutely irreducible polynomial with integer coefficients such that the curve defined by the equation f(X, Y) = 0 is of genus 0 having at least three infinite valuations. This paper describes a practical general method for the explicit determination of all integer solutions of the diophantine equation f(X, Y) = 0. Some elaborated examples are given
Although Diophantine analysis has occupied mathematicians from antiquity to our own times, there exi...
AbstractAll solutions in positive integers x, y z of the diophantine equation x1m + y1n = z1r are de...
Given an irreducible algebraic curve f(x,y)=0 of degree n≥3 with rational coefficients,we describe a...
AbstractLet f(X, Y) be an absolutely irreducible polynomial with integer coefficients such that the ...
AbstractLet f(X, Y) be an absolutely irreducible polynomial with integer coefficients such that the ...
AbstractLet K be a number field and F(X,Y) an absolutely irreducible polynomial of K[X,Y] such that ...
textabstractThe Elliptic Logarithm Method has been applied with great success to the problem of comp...
In this work, we consider the number of integer solutions of Diophantine equation D : y2 - 2yx - 3 =...
Given an equation of the form f(x, y) = 0, where f is a polynomial in two variables with rational co...
AbstractGiven a squarefree polynomial P∈k0[ x,y ], k0a number field, we construct a linear different...
Given a squarefree polynomial P ∈ k0[x, y], k0 a number field, we construct a linear differential op...
Given a squarefree polynomial P k 0 [x, y], k 0 a number field, we construct a linear differential o...
Algebraic curves and surfaces are playing an increasing role in modern mathematics. From the well k...
The common zero locus of a set of multivariate polynomials (with complex coefficients) determines an...
A Diophantine problem over Q is concerned with the solutions either in Q or in Z of a finite system ...
Although Diophantine analysis has occupied mathematicians from antiquity to our own times, there exi...
AbstractAll solutions in positive integers x, y z of the diophantine equation x1m + y1n = z1r are de...
Given an irreducible algebraic curve f(x,y)=0 of degree n≥3 with rational coefficients,we describe a...
AbstractLet f(X, Y) be an absolutely irreducible polynomial with integer coefficients such that the ...
AbstractLet f(X, Y) be an absolutely irreducible polynomial with integer coefficients such that the ...
AbstractLet K be a number field and F(X,Y) an absolutely irreducible polynomial of K[X,Y] such that ...
textabstractThe Elliptic Logarithm Method has been applied with great success to the problem of comp...
In this work, we consider the number of integer solutions of Diophantine equation D : y2 - 2yx - 3 =...
Given an equation of the form f(x, y) = 0, where f is a polynomial in two variables with rational co...
AbstractGiven a squarefree polynomial P∈k0[ x,y ], k0a number field, we construct a linear different...
Given a squarefree polynomial P ∈ k0[x, y], k0 a number field, we construct a linear differential op...
Given a squarefree polynomial P k 0 [x, y], k 0 a number field, we construct a linear differential o...
Algebraic curves and surfaces are playing an increasing role in modern mathematics. From the well k...
The common zero locus of a set of multivariate polynomials (with complex coefficients) determines an...
A Diophantine problem over Q is concerned with the solutions either in Q or in Z of a finite system ...
Although Diophantine analysis has occupied mathematicians from antiquity to our own times, there exi...
AbstractAll solutions in positive integers x, y z of the diophantine equation x1m + y1n = z1r are de...
Given an irreducible algebraic curve f(x,y)=0 of degree n≥3 with rational coefficients,we describe a...
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