We show that the field of rational numbers is not definable by a universal formula in Zilber's pseudo-exponential field
In this paper we investigate the algebraic extensions $K$ of $\mathbb{Q}$ in which we cannot existen...
Sets definable over finite fields are introduced. The rationality of the logarithmic derivative of ...
We investigate the failure of a local-global principle with regard to "containment of number fields"...
Pseudoexponential fields are exponential fields similar to complex exponentiation which satisfy the ...
We give a construction of quasiminimal fields equipped with pseudo-analytic maps, generalising Zilbe...
We construct and study structures imitating the field of complex numbers with exponentiation. We giv...
We show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo...
Motivated by the decidability question for the theory of real exponentiation and by the Transfer Con...
The algebra of exponential fields and their extensions is developed. The focus is on ELA-fields, whi...
The principal focus of this thesis is the study of the real numbers regarded as a structure endowed ...
In this paper, it is shown that the theory of pseudofinite fields is, with respect to a suitable lan...
This thesis assembles some new results in the field arithmetic of various classes of fields, includi...
We prove a result that gives positive evidence towards the universality of the field of surreal numb...
Meyer and Mortensen’s Alien Intruder Theorem includes the extraor- dinary observation that the ratio...
Assuming Schanuel's conjecture, we prove that any polynomial–exponential equation in one variable mu...
In this paper we investigate the algebraic extensions $K$ of $\mathbb{Q}$ in which we cannot existen...
Sets definable over finite fields are introduced. The rationality of the logarithmic derivative of ...
We investigate the failure of a local-global principle with regard to "containment of number fields"...
Pseudoexponential fields are exponential fields similar to complex exponentiation which satisfy the ...
We give a construction of quasiminimal fields equipped with pseudo-analytic maps, generalising Zilbe...
We construct and study structures imitating the field of complex numbers with exponentiation. We giv...
We show that if a field A is not pseudo-finite, then there is no prime model of the theory of pseudo...
Motivated by the decidability question for the theory of real exponentiation and by the Transfer Con...
The algebra of exponential fields and their extensions is developed. The focus is on ELA-fields, whi...
The principal focus of this thesis is the study of the real numbers regarded as a structure endowed ...
In this paper, it is shown that the theory of pseudofinite fields is, with respect to a suitable lan...
This thesis assembles some new results in the field arithmetic of various classes of fields, includi...
We prove a result that gives positive evidence towards the universality of the field of surreal numb...
Meyer and Mortensen’s Alien Intruder Theorem includes the extraor- dinary observation that the ratio...
Assuming Schanuel's conjecture, we prove that any polynomial–exponential equation in one variable mu...
In this paper we investigate the algebraic extensions $K$ of $\mathbb{Q}$ in which we cannot existen...
Sets definable over finite fields are introduced. The rationality of the logarithmic derivative of ...
We investigate the failure of a local-global principle with regard to "containment of number fields"...
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