A lower bound is given for the values of non-linear forms with algebraic coefficients at rational points. As a consequence, a generalization of Thue's equation in higher dimension is treated
International audienceWe obtain a polynomial type upper bound for the size of the integral solutions...
AbstractThis paper gives in detail a practical general method for the explicit determination of all ...
Abstract. We obtain polynomial type bounds for the size of the integral solutions of Thue equations ...
Abstract. The present note is an addendum to our previous article “On a general Thue’s equation.” Co...
International audienceWe introduce a new method to deal with families of norm form equations. These ...
International audienceWe introduce a new method to deal with families of norm form equations. These ...
We consider the Thue equation $F(x,y)=a$, where $F$ is an irreducible form of degree $n\geq 3$.We de...
We consider the Thue equation $F(x,y)=a$, where $F$ is an irreducible form of degree $n\geq 3$.We de...
Article dans revue scientifique avec comité de lecture.We consider the Thue equation $F(x,y)=a$, whe...
Using a classical result of Thue, we give an upper bound for the number of solutions to a family of ...
In this dissertation, we are mainly interested in effective methods to solve parametrized Thue equat...
Abstract. In a recent paper [7] the author considered the family of parametrized Thue equations n� F...
In this dissertation, we are mainly interested in effective methods to solve parametrized Thue equat...
AbstractLet Fn be a binary form with integral coefficients of degree n⩾2, let d denote the greatest ...
AbstractWe propose a general method for numerical solution of Thue equations, which allows one to so...
International audienceWe obtain a polynomial type upper bound for the size of the integral solutions...
AbstractThis paper gives in detail a practical general method for the explicit determination of all ...
Abstract. We obtain polynomial type bounds for the size of the integral solutions of Thue equations ...
Abstract. The present note is an addendum to our previous article “On a general Thue’s equation.” Co...
International audienceWe introduce a new method to deal with families of norm form equations. These ...
International audienceWe introduce a new method to deal with families of norm form equations. These ...
We consider the Thue equation $F(x,y)=a$, where $F$ is an irreducible form of degree $n\geq 3$.We de...
We consider the Thue equation $F(x,y)=a$, where $F$ is an irreducible form of degree $n\geq 3$.We de...
Article dans revue scientifique avec comité de lecture.We consider the Thue equation $F(x,y)=a$, whe...
Using a classical result of Thue, we give an upper bound for the number of solutions to a family of ...
In this dissertation, we are mainly interested in effective methods to solve parametrized Thue equat...
Abstract. In a recent paper [7] the author considered the family of parametrized Thue equations n� F...
In this dissertation, we are mainly interested in effective methods to solve parametrized Thue equat...
AbstractLet Fn be a binary form with integral coefficients of degree n⩾2, let d denote the greatest ...
AbstractWe propose a general method for numerical solution of Thue equations, which allows one to so...
International audienceWe obtain a polynomial type upper bound for the size of the integral solutions...
AbstractThis paper gives in detail a practical general method for the explicit determination of all ...
Abstract. We obtain polynomial type bounds for the size of the integral solutions of Thue equations ...