4 citations · 7 across the 4 of their papers we have counts for
4 papers
A Note on Schanuel's Conjectures for Exponential Logarithmic Power Series Fields
Salma Kuhlmann, Mickael Matusinski, Ahuva C. Shkop
In [1], J. Ax proved a transcendency theorem for certain differential fields of characteristic zero: the differential counterpart of the still open Schanuel's conjecture about the…
Real Closed Exponential Subfields of Pseudoexponential Fields
Ahuva C. Shkop
In this paper, we prove that a pseudoexponential field has continuum many non-isomorphic countable real closed exponential subfields, each with an order preserving exponential map…
Schanuel's Conjecture and Algebraic Roots of Exponential Polynomials
Ahuva C. Shkop
In this paper we prove that assuming Schanuel's conjecture, an exponential polynomial in one variable over the algebraic numbers has only finitely many algebraic solutions. This im…
Henson and Rubel's Theorem for Zilber's Pseudoexponentiation
Ahuva C. Shkop
This paper contains an alternate proof of the Schanuel Nullstellensatz for Zilber's Pseudoexponentiation. Furthermore, in an algebraically closed exponential field whose exponentia…