We survey some important properties of fields of generalized series and of exponential-logarithmic series, with particular emphasis on their possible differential structure, based on a joint work of the author with S. Kuhlmann [KM12b,KM11]
AbstractWe investigate valued fields which admit a valuation basis. Given a countable ordered abelia...
We investigate valued fields which admit a valuation basis. Given a countable ordered abelian group ...
Let X be an elliptic curve or a ramifying hyperelliptic curve over Fq . We will discuss how to facto...
We consider the valued field $\mathds{K}:=\mathbb{R}((\Gamma))$ of formal series (with real coeffici...
AbstractWe consider the valued field K:=R((Γ)) of formal series (with real coefficients and monomial...
In [1], J. Ax proved a transcendency theorem for certain differential fields of characteristic zero:...
We consider the valued field $\mathds{K}:=\mathbb{R}((\Gamma))$ of generalized series (with real coe...
AbstractIn [F.-V. Kuhlmann, S. Kuhlmann, S. Shelah, Exponentiation in power series fields, Proc. Ame...
In [F.-V. Kuhlmann, S. Kuhlmann, S. Shelah, Exponentiation in power series fields, Proc. Amer. Math....
In [K–K–S] it was shown that fields of generalized power series cannot admit an exponential function...
This thesis is motivated by the open question of whether there are transexponential o-minimal struct...
Being closed under truncation for subsets of generalized series fields is a robust property in the s...
This paper uses elementary algebraic methods to obtain new proofs for theorems on algebraic relation...
AbstractWe consider the valued field K:=R((Γ)) of generalised series (with real coefficients and mon...
We prove that for no nontrivial ordered abelian group G, the ordered power series field R((G)) admit...
AbstractWe investigate valued fields which admit a valuation basis. Given a countable ordered abelia...
We investigate valued fields which admit a valuation basis. Given a countable ordered abelian group ...
Let X be an elliptic curve or a ramifying hyperelliptic curve over Fq . We will discuss how to facto...
We consider the valued field $\mathds{K}:=\mathbb{R}((\Gamma))$ of formal series (with real coeffici...
AbstractWe consider the valued field K:=R((Γ)) of formal series (with real coefficients and monomial...
In [1], J. Ax proved a transcendency theorem for certain differential fields of characteristic zero:...
We consider the valued field $\mathds{K}:=\mathbb{R}((\Gamma))$ of generalized series (with real coe...
AbstractIn [F.-V. Kuhlmann, S. Kuhlmann, S. Shelah, Exponentiation in power series fields, Proc. Ame...
In [F.-V. Kuhlmann, S. Kuhlmann, S. Shelah, Exponentiation in power series fields, Proc. Amer. Math....
In [K–K–S] it was shown that fields of generalized power series cannot admit an exponential function...
This thesis is motivated by the open question of whether there are transexponential o-minimal struct...
Being closed under truncation for subsets of generalized series fields is a robust property in the s...
This paper uses elementary algebraic methods to obtain new proofs for theorems on algebraic relation...
AbstractWe consider the valued field K:=R((Γ)) of generalised series (with real coefficients and mon...
We prove that for no nontrivial ordered abelian group G, the ordered power series field R((G)) admit...
AbstractWe investigate valued fields which admit a valuation basis. Given a countable ordered abelia...
We investigate valued fields which admit a valuation basis. Given a countable ordered abelian group ...
Let X be an elliptic curve or a ramifying hyperelliptic curve over Fq . We will discuss how to facto...
DOI
Add to ORKG