I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answering a question of Zilber, and show that the linear independence condition in the statement cannot be relaxed. © 2005. Association for Symbolic Logic
This thesis is a model-theoretic study of exponential differential equations in the context of diffe...
I reproduce an elementary proof for the jacobian criterion for algebraic dependence and give an intr...
In this article we study an abelian analogue of Schanuel's conjecture. This conjecture falls in the ...
I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answeri...
In this thesis we study Ax-Schanuel type inequalities for abstract differential equations. A motivat...
AbstractWe study the algebraic independence of two inductively defined sets. Under the hypothesis of...
AbstractAn elementary proof of the Weil conjectures is given for the special case of a non-singular ...
A uniform version of the Schanuel conjecture is discussed that has some model-theoretical motivation...
International audienceWe introduce and discuss a variant of Schanuel conjecture in the framework of ...
Founded by J. F. Ritt, Differential Algebra is a true part of Algebra so that constructive and algor...
We introduce and discuss a variant of Schanuel conjecture in the framework of the Carlitz exponentia...
AbstractWe prove that the minimum order of an algebraic differential equation satisfied by a Schanue...
This thesis is a model-theoretic study of exponential differential equations in the context of diffe...
We prove the Ax-Schanuel theorem for a general (pure) Shimura variety. A basic version of the theore...
International audienceWe give in this paper an alternative, and we believe simpler, proof of a deep ...
This thesis is a model-theoretic study of exponential differential equations in the context of diffe...
I reproduce an elementary proof for the jacobian criterion for algebraic dependence and give an intr...
In this article we study an abelian analogue of Schanuel's conjecture. This conjecture falls in the ...
I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answeri...
In this thesis we study Ax-Schanuel type inequalities for abstract differential equations. A motivat...
AbstractWe study the algebraic independence of two inductively defined sets. Under the hypothesis of...
AbstractAn elementary proof of the Weil conjectures is given for the special case of a non-singular ...
A uniform version of the Schanuel conjecture is discussed that has some model-theoretical motivation...
International audienceWe introduce and discuss a variant of Schanuel conjecture in the framework of ...
Founded by J. F. Ritt, Differential Algebra is a true part of Algebra so that constructive and algor...
We introduce and discuss a variant of Schanuel conjecture in the framework of the Carlitz exponentia...
AbstractWe prove that the minimum order of an algebraic differential equation satisfied by a Schanue...
This thesis is a model-theoretic study of exponential differential equations in the context of diffe...
We prove the Ax-Schanuel theorem for a general (pure) Shimura variety. A basic version of the theore...
International audienceWe give in this paper an alternative, and we believe simpler, proof of a deep ...
This thesis is a model-theoretic study of exponential differential equations in the context of diffe...
I reproduce an elementary proof for the jacobian criterion for algebraic dependence and give an intr...
In this article we study an abelian analogue of Schanuel's conjecture. This conjecture falls in the ...
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