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
AbstractThis paper will do the following: (1) Establish a (better than) Thue-Siegel-Roth-Schmidt the...
International audienceThis article details a formalization in Coq of the Lindemann-Weierstrass theor...
The algebraic structure of the non-commutative analytic Toeplitz algebra Ln is developed in the orig...
I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answeri...
We prove that Schanuel's conjecture for the reals is equivalent to a uniform version of itself
In this thesis we study Ax-Schanuel type inequalities for abstract differential equations. A motivat...
Assuming Schanuel's conjecture, we prove that any polynomial–exponential equation in one variable mu...
We survey separably differentially closed fields and separable differential closure in comparison wi...
Given an algebraic differential equation of order greater than one, it is shown that if there is any...
The exponential algebraic closure operator in an exponential field is always a pregeometry and its d...
In this paper we provide new examples of geometrically trivial strongly minimal differential algebra...
In this article, we obtain a non-uniform version of Hrushovski's generalisation of the Lang-Weil est...
The existence of ground states and (multiple) bound states to semilinear time-independent Maxwell an...
summary:In this note we study fields $F$ with the property that the simple transcendental extension ...
The complete first-order theories of the exponential differential equations of semiabelian varieties...
AbstractThis paper will do the following: (1) Establish a (better than) Thue-Siegel-Roth-Schmidt the...
International audienceThis article details a formalization in Coq of the Lindemann-Weierstrass theor...
The algebraic structure of the non-commutative analytic Toeplitz algebra Ln is developed in the orig...
I prove a version of Schanuel's conjecture for Weierstrass equations in differential fields, answeri...
We prove that Schanuel's conjecture for the reals is equivalent to a uniform version of itself
In this thesis we study Ax-Schanuel type inequalities for abstract differential equations. A motivat...
Assuming Schanuel's conjecture, we prove that any polynomial–exponential equation in one variable mu...
We survey separably differentially closed fields and separable differential closure in comparison wi...
Given an algebraic differential equation of order greater than one, it is shown that if there is any...
The exponential algebraic closure operator in an exponential field is always a pregeometry and its d...
In this paper we provide new examples of geometrically trivial strongly minimal differential algebra...
In this article, we obtain a non-uniform version of Hrushovski's generalisation of the Lang-Weil est...
The existence of ground states and (multiple) bound states to semilinear time-independent Maxwell an...
summary:In this note we study fields $F$ with the property that the simple transcendental extension ...
The complete first-order theories of the exponential differential equations of semiabelian varieties...
AbstractThis paper will do the following: (1) Establish a (better than) Thue-Siegel-Roth-Schmidt the...
International audienceThis article details a formalization in Coq of the Lindemann-Weierstrass theor...
The algebraic structure of the non-commutative analytic Toeplitz algebra Ln is developed in the orig...
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